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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

`90^(@)`

B

`45^(@)`

C

`180^(@)`

D

`0^(@)`

Text Solution

Verified by Experts

The correct Answer is:
A
(a) suppose two vector sr eP and Q . It is given that
`|P+Q|=|P-Q|`
Let angle between PandQ is `phi`
`therefore P^(2)+Q^(2) +2PQ cosphi=P^(2)+Q^(2)-2PQcosphi`
`implies4PQcosphi=0`
`implies cosphi=0 [thereforeP,Qne0]`
`=.phi=(pi)/(2) =90^(@)`
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