Physics deals with the measurement of various quantities, and these quantities have unique features of their own. To make studying these quantities easy and form a systemic model, we use several categories. One such model includes the use of scalar and vector quantities.
Every quantity in the physical world is categorised either under scalar or vector quantities. These categories help determine the behaviour of the quantities and the rules that govern their arithmetic operations.
A scalar quantity only has a magnitude and lacks any direction. The quantities follow the laws of regular arithmetic operation.
Distance, Speed, and energy are some of the scalar quantities.
A vector quantity is something that has direction along with a magnitude. The vector quantities follow the laws of vector addition.
Displacement, Velocity, and Work some of the vector quantities.
In physics and mathematics, we denote a vector quantity by an arrow above the variable defining it. For example, we write the velocity vector with the '→' symbol over the letter v. The value contains the magnitude of velocity followed by the unit vector in the direction of the velocity.
One cannot add the vector quantities or subtract using the arithmetic rules used with the scalar quantities. Therefore, the rules that govern vector operations are very different, and it involves a vector quadrilateral. The rules for making a vector quadrilateral are as follows:








Two prominent laws deal with the concept of vector addition:
Ques: What is the key difference between a scalar quantity and a vector quantity?
The key difference is direction. Scalar Quantity has magnitude only and no direction. A vector quantity, on the other hand, has a magnitude and direction.
Ques: What are the points of similarity in scalar and vector quantities?
The point of similarity in vector and scalar quantities is that they are both measurable quantities and have magnitude followed by welldefined units of measurement.
Ques: Explain the difference between the scalar quantities and vector quantities using the example of distance and displacement.
Both distance and displacement are measurements of length. Distance is the total length covered by a body, whereas displacement is the shortest distance between two endpoints. Where distance is just the length, displacement is along a certain direction, giving the shortest length between the starting and the endpoint. Thus, distance only has a value, but displacement has a direction along with a value.