Question

differentiate between scalar and vector quantities​

Answer 1

Answer:

Scalars are quantities that are fully described by a magnitude (or numerical value) alone. Vectors are quantities that are fully described by both a magnitude and a direction.

Answer 2

$\huge\mathfrak{\underline{\underline{\purple {scalar \: quantities}}}}$

scalar quantity is one that has only magnitude but no direction. So, it is merely a number accompanied by the corresponding unit. For example, length, mass, duration, speed, etc. are scalars, so they have no direction. Scalar has no specific direction of application, in every direction its value will be exactly the same.

The value of the scalar will be exactly the same in all directions. Therefore, every scalar is a one-dimensional parameter. Consequently, any change in scalar quantity reflects only change in magnitude, as no direction is associated with it.

The rules of ordinary algebra can be applied for combining scalar quantities, such that scalars can be added, subtracted, or multiplied, in the same way, as numbers. However, the operation of the scalar quantities with the same measurement unit can be possible. The multiplication of two scalar quantities is known as the dot product.

$\huge\mathfrak{\underline{\underline{\purple {vector \: quantities}}}}$

A vector quantity has magnitude with the unit and a specific direction. So specifying the direction of action along with its value or magnitude is mandatory while defining or stating a vector quantity. Displacement, weight, force, velocity, etc. are vectors.

In vector, magnitude represents the size of the quantity, which is also its absolute value, while direction represents the side, i.e. east, west, north, south, etc. We express vector quantities in either of the parameters i.e. one-dimensional, two-dimensional, or three-dimensional parameters. Any change in the vector quantity reflects either change in magnitude, change in direction, or change in both.

One can resolve Vector with the help sine or cosine of adjacent angles (vector resolution). A vector quantity follows the triangle law of addition. The vector product of two quantities is said to be the cross product.