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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:
A
`|vecA+vecB|=|vecA-vecB|implies|vecA+vecB|^(2)=|vecA-vecB|^(2)`
` impliesA^(2)+B^(2)+2AB cos0=A^(2)+B^(2)-2AB cos0`
`impliescos 0=0implies0=90^(@)`
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