{"id":15772,"date":"2022-03-05T02:45:10","date_gmt":"2022-03-05T02:45:10","guid":{"rendered":"https:\/\/infraredforhealth.com\/?p=15772"},"modified":"2022-08-15T07:27:59","modified_gmt":"2022-08-15T07:27:59","slug":"is-energy-a-scalar-quantity","status":"publish","type":"post","link":"https:\/\/infraredforhealth.com\/is-energy-a-scalar-quantity\/","title":{"rendered":"Is Energy A Scalar Quantity?"},"content":{"rendered":"\n<h1 class=\"wp-block-heading\">Is Energy a Scalar Quantity?<\/h1>\n\n\n\n<p>If you&#8217;re interested in the science behind motion and how things move, you&#8217;ve probably wondered, &#8220;Is energy a scalar quantity?&#8221; After all, a scalar quantity lacks any direction. As such, it&#8217;s impossible to add and subtract <a href=\"https:\/\/infraredforhealth.com\/why-cant-energy-be-created\/\" target=\"_blank\" rel=\"noreferrer noopener\">energy<\/a> using vector algebra. However, it is easy to visualize the concept of motion and energy in action. The following are some common examples.<\/p>\n\n\n\n<p>What is energy? In physics, it&#8217;s the sum of the force or displacement acting on an object. It&#8217;s the scalar product of the two. The force or displacement (F) can be either positive or negative. The dot product of these two vectors, W, gives us energy. However, potential <a href=\"https:\/\/infraredforhealth.com\/does-energy-flow-in-one-direction\/\" target=\"_blank\" rel=\"noopener\" data-lasso-id=\"10913\">energy has only one direction:<\/a> up or down. The standard unit for potential energies is the joule.<\/p>\n\n\n\n<p>Energy is defined as the product of force and displacement, or F and S. The scalar quantity is equal to the dot product of the two vectors. In physics, potential energy is a scalar quantity. This type of energy has a magnitude and no direction. The joule is the standard unit for potential energy. The definitions for each are very simple and straightforward, and will help you make better decisions.<\/p>\n\n\n\n<p>If we want to understand how work is created, we need to understand the difference between a scalar quantity and a vector quantity. In physics, the vector quantity is a result of a scalar quantity. It can be defined as the sum of a scalar quantity and kinetic energy. It is a scalar quantity because it has no direction.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\">Is Energy a Scalar Or Vector?<\/h2>\n\n\n\n<p>Energy is the product of a vector and a scalar quantity. The first is called kinetic energy, and its magnitude cannot be specified by direction. The second is called potential energy, and it can have both directions. Its unit is the joule. We&#8217;ll cover both in this lesson. But what about the third? The answer depends on the context. Let&#8217;s look at kinetic energy.<\/p>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/i.imgur.com\/PsYGNbW.gif\" alt=\"Is energy a scalar or vector\"\/><\/figure>\n\n\n\n<p><a href=\"https:\/\/infraredforhealth.com\/do-gatorade-energy-chews-work\/\" target=\"_blank\" rel=\"noopener\" data-lasso-id=\"10914\">Energy is the ability of a system to do work<\/a>. It&#8217;s the force that one system exerts on another over a distance. An example of this is electromotive force. The product of mass and velocity is a scalar quantity. A vector quantity, on the other hand, has a magnitude and direction. It is not possible to add or subtract a scalar, and therefore cannot be used to calculate its velocity.<\/p>\n\n\n\n<p>As we can see, energy is both a vector and a scalar. Its definition is easy to remember: when a system exerts a force on another, the amount of energy is transferred. In contrast, electromotive force is a vector quantity. The energy that is transferred to the other system is the product of mass and velocity. So, a scalar amount is generated, whereas a vector quantity has both a magnitude and a direction.<\/p>\n\n\n\n<figure class=\"wp-block-embed is-type-rich is-provider-embed-handler wp-block-embed-embed-handler wp-embed-aspect-16-9 wp-has-aspect-ratio\"><div class=\"wp-block-embed__wrapper\">\n<iframe loading=\"lazy\" title=\"21.3 Kinetic Energy as a Scalar Product\" width=\"1200\" height=\"675\" src=\"https:\/\/www.youtube.com\/embed\/zLGu1dlP0UY?feature=oembed\" frameborder=\"0\" allow=\"accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture; web-share\" allowfullscreen><\/iframe>\n<\/div><\/figure>\n\n\n\n<h2 class=\"wp-block-heading\">Is Energy a Vector?<\/h2>\n\n\n\n<p><a href=\"https:\/\/byjus.com\/questions\/energy-is-a-scalar-quantity-but-in-magnets-the-energy-flows-in-one-direction-how\/\" target=\"_blank\" rel=\"noopener\" data-lasso-id=\"10915\">Is energy a vector<\/a>? The answer is no. It is not a vector because its value is always positive. A scalar is defined as one with either positive or negative direction. Neither a scalar nor a vector can be added or subtracted. However, both have their own properties. So, what makes a particular quantity a vector? Read on to find out. Also, keep in mind that a scalar has a zero direction.<\/p>\n\n\n\n<p>The scalar product of mass and velocity is energy. The scalar quantity is the dot product of the two vectors. In other words, doubling the mass of a body will double its kinetic &#8216;energy&#8217;. Unlike a scalar, which has only one direction, energy is a quaternion, consisting of three vectors. As a result, it is a scalar vector.<\/p>\n\n\n\n<p>The scalar quantity of energy is kinetic, which does not depend on its spatial direction. The scalar product of force and displacement, or acceleration, is called the kinetic energy of a body. It does not have a direction, so it cannot be added or subtracted by using vector algebra. The same holds true of electromotive force, but in this case, the motion is in a direction opposite to the initial position.<\/p>\n\n\n\n<p>To make energy a vector, we need to understand how force acts on an object. A scalar vector is a scalar &#8211; it has no direction or point of action. A scalar quantity has no direction or magnitude. For example, work doesn&#8217;t have a direction, so it&#8217;s a scalar. This property makes it impossible to have a scalar kinetic energy.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\">The Difference Between Density and Mass<\/h2>\n\n\n\n<p>In general, density is a scalar quantity, with magnitude but no direction. However, it is also a vector quantity. The definition of a vector is: &#8220;a physical quantity whose magnitude is dependent on its direction.&#8221; As an example, the density of water is equal to its volume multiplied by its mass. Similarly, the density of air is equal to its volume multiplied by the surface area.<\/p>\n\n\n\n<p>Current is a scalar quantity, and is a scalar quantity. The definition of current density is simply the amount of current flowing through a small area. This area must be normal to the direction of the current flow. It is important to note that the velocity of the current is proportional to the density of the charge. When considering the two quantities, current density is a vector quantity. This allows us to compare the amount of electricity flow in one area with another.<\/p>\n\n\n\n<p>Current density, by contrast, is a vector quantity. This means that it captures the direction of a vectorial element. This makes it a perfect example of a scalar quantity. Besides, the density of current is proportional to the surface area. This gives a more complete picture of the movement. By comparison, mass is a scalar quantity. It represents the amount of matter in an object. It has a magnitude, but no direction. The vector counterpart of mass is weight.<\/p>\n\n\n\n<figure class=\"wp-block-embed is-type-rich is-provider-embed-handler wp-block-embed-embed-handler wp-embed-aspect-16-9 wp-has-aspect-ratio\"><div class=\"wp-block-embed__wrapper\">\n<iframe loading=\"lazy\" title=\"Is current density a vector or a scalar quantity ? Deduce the relation between current density and\" width=\"1200\" height=\"675\" src=\"https:\/\/www.youtube.com\/embed\/eKu1JEiwZ48?feature=oembed\" frameborder=\"0\" allow=\"accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture; web-share\" allowfullscreen><\/iframe>\n<\/div><\/figure>\n\n\n\n<h2 class=\"wp-block-heading\">Examples of Scalar and Vector Quantities<\/h2>\n\n\n\n<p>A scalar quantity is one that has no direction and has no shape. The archetypical example is mass, which has no direction. Electric charge, on the other hand, has a direction and a sign, but has no shape. It is, therefore, a vector quantity. This article will cover some examples of scalars. It is important to note that a scalar is different from a vector.<\/p>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/i.imgur.com\/L876Mhe.gif\" alt=\"What are some examples of scalar quantities\"\/><\/figure>\n\n\n\n<p>A scalar quantity has a magnitude, but no direction. Examples of scalars include distance, weight, and time. A vector, on the other hand, has a direction and a magnitude. Its name is &#8220;vector&#8221; because it can be represented using the cardinal directions. A scalar quantity can be manipulated using ordinary algebraic laws, like adding and subtracting two numbers.<\/p>\n\n\n\n<p>Scalar quantities have a magnitude, but no direction. A vector quantity has a direction. It can be expressed using a number. For example, a physical distance is one thousand meters. It doesn&#8217;t depend on the length of the base vector in a coordinate system, which is the unit of physical distance. For example, a speed measurement relates to time. A temperature measure relates to time.<\/p>\n\n\n\n<p>What are some examples of scalar and vector quantities? Once you&#8217;ve learned the difference between these two types of quantities, you can use them to solve problems. Consider the case of a 30-kmph speed limit in a car. If you want to find the shortest route to your office, you can use a scalar quantity. For example, if you&#8217;re traveling at 30 kmph, you can find the shortest route using GoogleMaps. But if you want to find the shortest route to the office, you can use a vector quantity.<\/p>\n\n\n\n<figure class=\"wp-block-embed is-type-rich is-provider-embed-handler wp-block-embed-embed-handler wp-embed-aspect-16-9 wp-has-aspect-ratio\"><div class=\"wp-block-embed__wrapper\">\n<iframe loading=\"lazy\" title=\"Scalars and Vectors\" width=\"1200\" height=\"675\" src=\"https:\/\/www.youtube.com\/embed\/rcDXQ-5H8mk?feature=oembed\" frameborder=\"0\" allow=\"accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture; web-share\" allowfullscreen><\/iframe>\n<\/div><\/figure>\n\n\n\n<h2 class=\"wp-block-heading\">Does a Gradient of Vector Field Exist?<\/h2>\n\n\n\n<p>A gradient is a n-dimensional vector with the i-th element being the partial derivative of a function in one or more variables. This definition makes it easy to understand how a scalar field can have a gradient. A partial derivative is the derivative of a function with respect to a single or more variables. Therefore, a gradient must exist. To prove that a gradient exists, you must first compute the scalar field&#8217;s integral.<\/p>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/i.imgur.com\/WF2rPpv.png\" alt=\"Does gradient of vector field exist\"\/><\/figure>\n\n\n\n<p>A gradient is a vector with the smallest magnitude at each point. When a function is applied to a scalar field, it is always perpendicular to the scalar vector. This property is called a covariant basis. However, in a scalar field, there is no such thing as a scalar function. This is because the scalar functions of a scalar function are always perpendicular to the saggita.<\/p>\n\n\n\n<p>Nevertheless, it is important to note that while the Laplacian does not exist for a vector field, it does exist for a scalar function. In a similar fashion, a scalar function is an inverse of a scalar. The inverse metric tensor is a scalar with a two-dimensional x-axis.<\/p>\n\n\n\n<figure class=\"wp-block-embed is-type-rich is-provider-embed-handler wp-block-embed-embed-handler wp-embed-aspect-4-3 wp-has-aspect-ratio\"><div class=\"wp-block-embed__wrapper\">\n<iframe loading=\"lazy\" title=\"Gradient of a scalar field | Multivariable Calculus | Khan Academy\" width=\"1200\" height=\"900\" src=\"https:\/\/www.youtube.com\/embed\/OB8b8aDGLgE?feature=oembed\" frameborder=\"0\" allow=\"accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture; web-share\" allowfullscreen><\/iframe>\n<\/div><\/figure>\n\n\n\n<h2 class=\"wp-block-heading\">What is the Physical Meaning of the Metric Tensor?<\/h2>\n\n\n\n<p>We can think of the metric tensor as a tool for &#8220;arithmetizing&#8221; the geometrical properties of space. It is a tensor of distances between two vectors, pointing in opposite directions. The metric t-scan is an example of a metric tensor. Here&#8217;s the physical meaning of the various terms:<\/p>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/i.imgur.com\/Wr5NIyn.png\" alt=\"What is the physical meaning of all of the terms in the metric tensor\"\/><\/figure>\n\n\n\n<p>The metric tensor is a matrix of lengths and angles in a curved space called the Riemannian metric. The metric t-scan has many different names: Lorentzian metry (p = 1, n=0), weak pseudo-Riemannian metric (p = n-1), and semi-Riemannian meter. The Minkowski metries are four-dimensional versions of a more general metric. The radial distances of a symmetric ring are induced by the corresponding symmetry and angular distances of a curved plane.<\/p>\n\n\n\n<p>A metric tensor is a vector that carries the Riemannian metric of an object. The Ricci metric (R) entails the metric&#8217;s volume, and the components of it describe how this volume changes with tidal forces. Consequently, a metric tensor is a geometric representation of the Riemannian metrix, and the inverse meter is a four-dimensional version of a more general re-orientation.<\/p>\n\n\n\n<figure class=\"wp-block-embed is-type-rich is-provider-embed-handler wp-block-embed-embed-handler wp-embed-aspect-4-3 wp-has-aspect-ratio\"><div class=\"wp-block-embed__wrapper\">\n<iframe loading=\"lazy\" title=\"Basis vectors and the metric tensor\" width=\"1200\" height=\"900\" src=\"https:\/\/www.youtube.com\/embed\/NJzzbGcIYX0?feature=oembed\" frameborder=\"0\" allow=\"accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture; web-share\" allowfullscreen><\/iframe>\n<\/div><\/figure>\n\n\n\n<h2 class=\"wp-block-heading\">The Difference Between Scalar and Vector Quantities<\/h2>\n\n\n\n<p>What is the difference between a scalar and a vector quantity? A scalar quantity is a unit that has a magnitude but no direction. A vector quantity, on the other hand, has a magnitude and a direction. The two types of energy are used interchangeably in physics. Generally, the two are different types of force. The difference between a scalar and vector quantity is its direction.<\/p>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/i.imgur.com\/bOzyUBo.jpg\" alt=\"Why is energy a vector quantity\"\/><\/figure>\n\n\n\n<p>A scalar quantity has only a magnitude and has no direction. In contrast, a vector possesses both a direction and a magnitude. For example, polarization indicates that two units have moved away from each other. Both directions are necessary when measuring polarization, as the direction is important in measuring the distance between two objects. It is the direction that determines the magnitude. In physics, momentum is the product of mass and velocity.<\/p>\n\n\n\n<p>If a force exerts an effort, the result is work. The energy transferred to the object is a scalar quantity. The work done is a vector quantity. The direction of the force affects the amount of energy produced. In physics, the direction is the most important factor. The scalar quantity is work. The two are not the same. A scalar quantity is a scalar quantity.<br><\/p>\n\n\n\n<h2 class=\"wp-block-heading\">Why Isn&#8217;t Kinetic Energy a Vector Instead of a Scalar?<\/h2>\n\n\n\n<p>In physics, kinetic energy is the easiest type to understand. Any <a href=\"https:\/\/infraredforhealth.com\/when-does-an-object-have-no-kinetic-energy\/\" target=\"_blank\" rel=\"noopener\" data-lasso-id=\"10916\">object that moves has some amount of kinetic energy<\/a>. The faster it moves, the more energy it has. In physics, kinetic energies are measured in Joules (J) and are equal to one kilogram per second squared. This type of <a href=\"https:\/\/infraredforhealth.com\/does-energy-take-up-space\/\" target=\"_blank\" rel=\"noopener\" data-lasso-id=\"10917\">energy does not have a direction in space<\/a>. It is a scalar quantity.<\/p>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/i.imgur.com\/zQyptUg.jpg\" alt=\"Why isnt kinetic energy a vector instead of a scalar\"\/><\/figure>\n\n\n\n<p>It is important to understand that momentum and kinetic energy are vector quantities. While a scalar changes when its magnitude changes, a vector does not. Thus, a scalar&#8217;s magnitude determines its direction. In Newtonian mechanics, kinetic and potential energy are one in the same. However, the way they are calculated is not the same.<\/p>\n\n\n\n<p>When dealing with a scalar, the scalar doesn&#8217;t change. A vector, on the other hand, changes according to the allowable coordinate transformations. Unlike scalars, kinetic energy is not defined by direction. It is described by its magnitude alone. Hence, there are no scalar equations for calculating kinetic energy.<\/p>\n\n\n\n<p>It is important to know that kinetic energy does not have a direction. In fact, it is a scalar. As a result, it is a scalar without a direction. A scalar with a directional component does not have any momentum. If there are several objects in motion, the motion of each is the same, but a scalar has more than one form.<\/p>\n\n\n\n<figure class=\"wp-block-embed is-type-rich is-provider-embed-handler wp-block-embed-embed-handler wp-embed-aspect-16-9 wp-has-aspect-ratio\"><div class=\"wp-block-embed__wrapper\">\n<iframe loading=\"lazy\" title=\"Is work a scalar quantity or a vector quantity ?\" width=\"1200\" height=\"675\" src=\"https:\/\/www.youtube.com\/embed\/hNZpF4I5WUs?feature=oembed\" frameborder=\"0\" allow=\"accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture; web-share\" allowfullscreen><\/iframe>\n<\/div><\/figure>\n\n\n\n<h2 class=\"wp-block-heading\">Is Power and Energy a Scalar?<\/h2>\n\n\n\n<p>Power and energy are scalar quantities. <a href=\"https:\/\/www.stouchlighting.com\/blog\/electricity-and-energy-terms-in-led-lighting-j-kw-kwh-lm\/w#:~:text=Watts%20are%20defined%20as%201,you%20have%20it%20turned%20on.\" target=\"_blank\" rel=\"noopener\" data-lasso-id=\"10918\">A watt is one joule of energy per second<\/a>. The SI unit for power is the watt. Other common scalar units include the joule, erg, and foot-pounds per minute. The fundamental theorem of calculus says that F = dt. Hence, power is the ratio of two scalar quantities.<\/p>\n\n\n\n<p>When the velocity is one-half the height of a mountain, the rate of power is half the distance. The force causing the displacement is twice the power. The kinetic energy in the mountaineer&#8217;s body is higher than the one in the rock climber&#8217;s body. Unlike the latter, the former is not directional and is the product of two vector quantities: force and velocity.<\/p>\n\n\n\n<p>Power is the amount of energy performed upon an object over time. It is a time-based quantity related to the speed of a job. The formula for power is given below. In standard metric units, power is measured in Joules per second. Its abbreviation is W. As a result, both power and energy are scalar quantities. The power is the ratio of the velocity and the force.<\/p>\n\n\n\n<p>The power and energy of an object are scalar quantities. A joule is one joule of energy per second. A kilowatt is one thousand watts. Despite their scalarity, both time and energy are vectors and do not have directions. The result of a kinetic cycle is a scalar amount of energy.<\/p>\n\n\n\n<figure class=\"wp-block-embed is-type-rich is-provider-embed-handler wp-block-embed-embed-handler wp-embed-aspect-16-9 wp-has-aspect-ratio\"><div class=\"wp-block-embed__wrapper\">\n<iframe loading=\"lazy\" title=\"Work Power Energy : Scalar Product of Vectors - 01 For Class 11th\" width=\"1200\" height=\"675\" src=\"https:\/\/www.youtube.com\/embed\/q-Zbf-a6NHs?feature=oembed\" frameborder=\"0\" allow=\"accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture; web-share\" allowfullscreen><\/iframe>\n<\/div><\/figure>\n\n\n\n<h2 class=\"wp-block-heading\">Is Energy Scalar Or Vector Quantity?<\/h2>\n\n\n\n<p>We have talked a lot about how energy relates to heat, weight, and volume, but do you know which is the correct term? The answer to this question depends on how you define the quantity. While energy is a scalar quantity, it does have direction. It is the product of force and displacement and is a vector quantity. The vector part of the equation is used to describe the magnitude of the resulting scalar quantity.<\/p>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/i.imgur.com\/0DaCgXy.jpg\" alt=\"Is energy scalar or vector quantity Why\"\/><\/figure>\n\n\n\n<p>To understand how this can affect our understanding of the physical world, we must first know what an energy scalar is. A scalar quantity lacks direction and is defined by its magnitude, not its direction. This means that energy cannot be added or subtracted with the use of vector algebra. In the physical world, we define energy as the product of mass and displacement. The two quantities are not the same, so the two quantities are not equal in terms of their size and direction.<\/p>\n\n\n\n<p>The simplest way to understand energy is to think about it as a dot product of two vectors. While it is a scalar quantity, it is a vector quantity. It has no direction, so it cannot be added or subtracted using vector algebra. This is the most important reason why we must avoid this confusion. The next step is to recognize that it is not the same as a scalar or a vector.<\/p>\n\n\n\n<figure class=\"wp-block-embed is-type-rich is-provider-embed-handler wp-block-embed-embed-handler wp-embed-aspect-16-9 wp-has-aspect-ratio\"><div class=\"wp-block-embed__wrapper\">\n<iframe loading=\"lazy\" title=\"Is energy a vector quantity ?\" width=\"1200\" height=\"675\" src=\"https:\/\/www.youtube.com\/embed\/3AktP3iWOnA?feature=oembed\" frameborder=\"0\" allow=\"accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture; web-share\" allowfullscreen><\/iframe>\n<\/div><\/figure>\n","protected":false},"excerpt":{"rendered":"<p>Is Energy a Scalar Quantity? If you&#8217;re interested in the science behind motion and how things move, you&#8217;ve probably wondered, &#8220;Is energy a scalar quantity?&#8221; After all, a scalar quantity lacks any direction. As such, it&#8217;s impossible to add and &#8230; <\/p>\n<p class=\"read-more-container\"><a title=\"Is Energy A Scalar Quantity?\" class=\"read-more button\" href=\"https:\/\/infraredforhealth.com\/is-energy-a-scalar-quantity\/#more-15772\" aria-label=\"Read more about Is Energy A Scalar Quantity?\">Read more<\/a><\/p>\n","protected":false},"author":1,"featured_media":15782,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"om_disable_all_campaigns":false,"_lmt_disableupdate":"","_lmt_disable":"","_monsterinsights_skip_tracking":false,"_monsterinsights_sitenote_active":false,"_monsterinsights_sitenote_note":"","_monsterinsights_sitenote_category":0},"categories":[1],"tags":[4789],"aioseo_notices":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v21.7 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Is Energy A Scalar Quantity? - Infrared for Health<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/infraredforhealth.com\/is-energy-a-scalar-quantity\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Is Energy A Scalar Quantity? - Infrared for Health\" \/>\n<meta property=\"og:description\" content=\"Is Energy a Scalar Quantity? If you&#8217;re interested in the science behind motion and how things move, you&#8217;ve probably wondered, &#8220;Is energy a scalar quantity?&#8221; After all, a scalar quantity lacks any direction. As such, it&#8217;s impossible to add and ... 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