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The vectors vecA and vecB are such that ...

The vectors `vecA and vecB` are such that `|vecA+vecB|=|vecA-vecB|` .
The angle between two vectors will be

A

`0^(@)`

B

`60^(@)`

C

`90^(@)`

D

`45^(@)`

Text Solution

Verified by Experts

The correct Answer is:
C
Here `|vecA+vecB|=|vecA-vecB|`
`sqrt(A^(2)+B^(2)+2ABcostheta)=sqrt(A^(2)+B^(2)-2ABcostheta)`
`A^(2)+B^(2)+2ABcostheta=A^(2)+B^(2)-2ABcostheta`
`4AB cos theta=0`
`costheta=0" " ( because A ne0 or B ne 0)`
`:. theta=90^(@)`
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