Q. 15

# For two vectors A and B, |A + B|= |A – B| is always true when

A. |A| |B| ≠ 0

B. A ⊥ B

C. |A| = |B| ≠ 0 and A and B are parallel or anti parallel

D. When either |A| or |B| is zero

Answer :

It is given that , it could be true when |A|=0 or |B|=0 or both are zero.

The given statement can also be true if both conditions are applied together that is

or

Therefore we can write,

This gives the always true condition that is when A is perpendicular to B.

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If |A|= 2 and |B| = 4, then match the relations in column I with the angle θ between A and B in column II

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