Question

Assertion:
If the magnitude of displacement is 0, then it is not a vector quantity
Reason:
A vector has both magnitude and direction.
A) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
B) Both Assertion and Reason are correct but Reason is not the correct explanation for Assertion
C) Assertion is correct but Reason is incorrect
D Assertion is incorrect but Reason is correct

Answer 1

Hint A vector can have positive, negative and even 0 values. And a zero vector means that it has zero magnitude in some direction or some magnitude in no direction. Either way the vector still is defined.

Complete step by step solution
If a body is moving in 1 direction, then it is said to have positive displacement, if it is moving in 2 opposite directions then one of those directions should be taken as negative and if travelled in 1 direction and then returned to its initial point, it is said to have 0 displacement. A body can have 0 displacement and still be a vector quantity. So the assertion is incorrect. A scalar has only magnitude but a vector has both the direction and the magnitude in that particular direction. This is the most basic difference between the 2 quantities. Therefore the reason is correct.

So the option with the correct answer is D.

Note One can get confused between zero vectors and a zero scalar. Please note that they are different. Eg. Displacement of zero doesn’t mean zero distance.