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If the magnitude of sum of two vectors i...

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

A

`0^(@)`

B

`90^(@)`

C

`45^(@)`

D

`180^(@)`

Text Solution

Verified by Experts

The correct Answer is:
B
`|vec(A) - vec(B)|^(2) = |vec(A) + vec(B)|^(2)`
`A^(2) + B^(2)- 2AB cos theta= A^(2) + B^(2) + 2AB cos theta`
`cos theta= 0`
`theta= 90^(@)`
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