A vector has magnitude and direction. Do | Class 11 Physics Chapter Motion in a Plane, Motion in a Plane NCERT Solutions

Question:

A vector has magnitude and direction. Does it have a location in space? Can it vary with time? Will two equal vectors a and b at different locations in space necessarily have identical physical effects? Give examples in support of your answer.

Answer:

Does it have a location in space?   No; 

Can it vary with time?   Yes;

Will two equal vectors a and b at different locations in space necessarily have identical physical effects?   No

Generally speaking, a vector has no definite locations in space. This is because a vector remains invariant when displaced in such a way that its magnitude and direction remain the same. However, a position vector has a definite location in space.

A vector can vary with time. For example, the displacement vector of a particle moving with a certain velocity varies with time.

Two equal vectors located at different locations in space need not produce the same physical effect. For example, two equal forces acting on an object at different points can cause the body to rotate, but their combination cannot produce an equal turning effect.


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Welcome to the NCERT Solutions for Class 11 Physics - Chapter . This page offers a step-by-step solution to the specific question from Excercise 1 , Question 26: A vector has magnitude and direction. Does it have a location in space? Can it vary with time? Will ....