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

If the sum of two unit vectors is a unit vector, then the magnitude of their difference is :

`sqrt(2)`

`sqrt(3)`

`1//sqrt(2)`

`sqrt(5)`

Text Solution

Verified by Experts

The correct Answer is:

`:' |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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