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The vectors vec A and vec B are such tha...

The vectors `vec A and vec B` are such that `|vec A + vec B | = |vec A - vec B|` . The angle between the two vectors is

A

`75^(@)`

B

`45^(@)`

C

`90^(@)`

D

`60^(@)`

Text Solution

Verified by Experts

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