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Q.

If the magnitude of sum of two vectors is equal to the magnitude of difference of the two vectors, the angle between these vectors is

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a

0°

b

45°

c

180°

d

90°

answer is A.

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Detailed Solution

|a ¯+b ¯|=|a ¯−b ¯|⇒a2+b2+2abcosθ

= a2+b2−2abcosθ

a2+b2+2 abcosθ=a2+b2−2 abcosθ

4 abcosθ=0

cosθ=0⇒θ=90°

 

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If the magnitude of sum of two vectors is equal to the magnitude of difference of the two vectors, the angle between these vectors is