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The vectorsvecA and vecB uur are such t...

The vectors`vecA` and `vecB` uur are such that |`vecA + vecB`| =|`vecA-vecB `|The angle between the two vectors is

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

  • The vectors vecA and vecB are such that |vecA+vecB|=|vecA-vecB| The angle between the two vectors is:-

    A
    `90^(@)`
    B
    `60^(@)`
    C
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    D
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