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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

`90^(@)`

B

`60^(@)`

C

`75^(@)`

D

`45^(@)`

Text Solution

Verified by Experts

The correct Answer is:
1
`|vecA+ vecB|^(2) = |vecA- vecB|^(2)`
`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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Knowledge Check

  • If |vecA xx vecB| = vecA.vecB then the angle between vecA and vecB is :

    A
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