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If the magnitude of sum of two vectors i...

If the magnitude of sum of two vectors is equal to the magnitude of difference of the two vector, the angle between these Vector is

A

`0^(@)`

B

`90(@)`

C

`45^(@)`

D

` 180^(@)`

Text Solution

Verified by Experts

The correct Answer is:
2

`|vecA+ vecB| = |vecA- vec|`
`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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