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SCALAR QUANTITIES

Physical quantities which can completely be specified by a number (magnitude)
having an appropriate unit are known as "SCALAR QUANTITIES".

Scalar quantities do not need direction for their description.
Scalar quantities are comparable only when they have the same physical dimensions.
Two or more than two scalar quantities measured in the same system of units are equal if they have the same magnitude and sign.
Scalar quantities are denoted by letters in ordinary type.
Scalar quantities are added, subtracted, multiplied or divided by the simple rules of algebra.


EXAMPLES


Work, energy, electric flux, volume, refractive index, time, speed, electric potential, potential difference, viscosity, density, power, mass, distance, temperature, electric charge etc.
VECTORS QUANTITIES


Physical quantities having both magnitude and direction
with appropriate unit are known as "VECTOR QUANTITIES".

We can't specify a vector quantity without mention of deirection.
vector quantities are expressed by using bold letters with arrow sign such as:
vector quantities can not be added, subtracted, multiplied or divided by the simple rules of algebra.
vector quantities added, subtracted, multiplied or divided by the rules of trigonometry and geometry. EXAMPLES

Velocity, electric field intensity, acceleration, force, momentum, torque, displacement, electric current, weight, angular momentum etc. REPRESENTATION OF VECTORS

On paper vector quantities are represented by a straight line with arrow head pointing the direction of vector or terminal point of vector. A vector quantity is first transformed into a suitable scale and then a line is drawn with the help of the scale choosen in the given direction.
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Mireille Rempel

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3y ago

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Can vector quantity be divided and multiplied?

Vector quantities can be added and subtracted using vector addition, but they cannot be divided like scalar quantities. However, vectors can be multiplied in two ways: by scalar multiplication, where a scalar quantity is multiplied by the vector to change its magnitude, or by vector multiplication, which includes dot product and cross product operations that result in a scalar or vector output.


Can a scalar quantity be the product of 2 vector quantities?

No, a scalar quantity cannot be the product of two vector quantities. Scalar quantities have only magnitude, while vector quantities have both magnitude and direction. When two vectors are multiplied, the result is a vector, not a scalar.


Why vector quantities cannot be added and subtracted like scalar quantities?

Mainly because they aren't scalar quantities. A vector in the plane has two components, an x-component and a y-component. If you have the x and y components for each vector, you can add them separately. This is very similar to the addition of scalar quantities; what you can't add directly, of course, is their lengths. Similarly, a vector in space has three components; you can add each of the components separately.


Can scalar quantities be added together?

Yes, scalar quantities can be added, as long as they are the same dimension and you keep units straight. For example you cannot add cubic meters to square meters. But (especially in the imperial system) pounds and ounces, or feet and inches are added, and displayed in that fashion. Minutes and seconds is another.


Describe scalar and vector quantities Include a definition and provide at least one example of how they are alike and how they are different?

Scalar quantities are physical quantities that are described by their magnitude only, with no direction, such as temperature or speed. Vector quantities are physical quantities that are described by both magnitude and direction, such as velocity or force. An example of how they are alike is that both scalar and vector quantities can be added or subtracted using mathematical operations. An example of how they are different is that vector quantities have direction associated with them, while scalar quantities do not.

Related Questions

Can vector quantity be divided and multiplied?

Vector quantities can be added and subtracted using vector addition, but they cannot be divided like scalar quantities. However, vectors can be multiplied in two ways: by scalar multiplication, where a scalar quantity is multiplied by the vector to change its magnitude, or by vector multiplication, which includes dot product and cross product operations that result in a scalar or vector output.


Can a scalar quantity be the product of 2 vector quantities?

No, a scalar quantity cannot be the product of two vector quantities. Scalar quantities have only magnitude, while vector quantities have both magnitude and direction. When two vectors are multiplied, the result is a vector, not a scalar.


Why vector quantities cannot be added and subtracted like scalar quantities?

Mainly because they aren't scalar quantities. A vector in the plane has two components, an x-component and a y-component. If you have the x and y components for each vector, you can add them separately. This is very similar to the addition of scalar quantities; what you can't add directly, of course, is their lengths. Similarly, a vector in space has three components; you can add each of the components separately.


Can scalar quantities be added together?

Yes, scalar quantities can be added, as long as they are the same dimension and you keep units straight. For example you cannot add cubic meters to square meters. But (especially in the imperial system) pounds and ounces, or feet and inches are added, and displayed in that fashion. Minutes and seconds is another.


Is volt a vector quantity?

no volt is not a vector quantity because it has no direction and it can be added or subtracted as scalar quantities. volt in electrostatics is analogous to vertical height in mechanics . vertical height have a value for every place but no direction and height can be added or subtracted as scalar


Describe scalar and vector quantities Include a definition and provide at least one example of how they are alike and how they are different?

Scalar quantities are physical quantities that are described by their magnitude only, with no direction, such as temperature or speed. Vector quantities are physical quantities that are described by both magnitude and direction, such as velocity or force. An example of how they are alike is that both scalar and vector quantities can be added or subtracted using mathematical operations. An example of how they are different is that vector quantities have direction associated with them, while scalar quantities do not.


Similarities between scalar and vector quantities?

Scalar quantities - quantities that only include magnitude Vector quantities - quantities with both magnitude and direction


What are the quantities that identifies scalar and vector quantities?

A vector is characterized by having not only a magnitude, but a direction. If a direction is not relevant, the quantity is called a scalar.


Diffrentiate between vector and scalar quantities?

Scalar quantities are defined as quantities that have only a mganitude. Vector quantities have magnitude and direction. Some example of this include Scalar Vector Mass Weight length Displacement Speed Velocity Energy Acceleration


How are scalar and vector quantities similar?

Scalar and vector quantities are both used in physics to describe properties of objects. They both have magnitude, which represents the size or amount of the quantity. However, the key difference is that vector quantities also have direction associated with them, while scalar quantities do not.


Vector and scalar quantities definition?

Vector quantities have both magnitude and direction, such as velocity and force. Scalar quantities have only magnitude and no specific direction, such as speed and temperature.


Is a vector quantity is always the same as a scalar quantity?

No, a vector quantity and a scalar quantity are different. A vector has both magnitude and direction, while a scalar has only magnitude. Velocity and force are examples of vector quantities, while speed and temperature are examples of scalar quantities.