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If |vecA + vecB| = |vecA - vecB|, then t...

If `|vecA + vecB| = |vecA - vecB|`, then the angle between `vecA and vecB` will be

A

`theta=0`

B

`theta=45^(@)`

C

`theta=90^(@)`

D

`theta=180^(@)`

Text Solution

Verified by Experts

The correct Answer is:
C

`|vecA+vecB|=|vecA- vecB|`
S.B.S.
`|vecA+vecB|^(2)=|vecA-vecB|^(2)`
`(vecA+vecB)*(vecA+vecB)=(vecA-vecB)*(vecA-vecB)`
`therefore theta=90^(@)`
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