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Question

Mathematics Question on Vectors

Given below are two statements: One is labelled as Assertion A and the other is labelled as Reason R.
Assertion A: If dot product and cross product of A  and  B\vec{A}\;and\;\vec{B}are zero, it implies that one of the vector A  and  B\vec{A}\;and\;\vec{B} must be null vector
Reason R: Null vector is a vector with a zero magnitude.
In the light of the above statements, choose the correct answer from the options given below:

A

Both A and R are true and R is the correct explanation of A

B

Both A and R are true but R is not the correct explanation of A

C

A is true but R is false

D

A is false but R is true

Answer

Both A and R are true but R is not the correct explanation of A

Explanation

Solution

The correct answer is(B): Both A and R are true but R is not the correct explanation of A