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If the sum of two unit vectors is a unit...

If the sum of two unit vectors is a unit vector,then find the magnitude of their differences.

A

`sqrt(2)`

B

`sqrt(3)`

C

`1//sqrt(2)`

D

`sqrt(5)`

Text Solution

Verified by Experts

The correct Answer is:
B
`:' |hat(a)+hat(b)|=1 :. 2 "cos" theta/2 =1`
`rArr "cos" theta/2=1/2rArr theta/2=pi/3`
`|hat(a)-hat(b)|=2 "sin" theta/2=2xxsqrt(3)/2=sqrt(3)`
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