1.

If the sum of two unit vectors is a unit vector, then magnitude of difference is-A. `sqrt(2)`B. `sqrt(3)`C. `(1)/sqrt(2)`D. `sqrt(5)`

Answer» Correct Answer - B
`|hatn_(2)+hatn_(2)|=1`
`sqrt(1^(2)+1^(2)+2 cos theta)=12+2 cos theta=1`
`rArr costheta=(-1)/(2)rArrtheta=120^(@)`
`|hatn_(1)-hatn_(2)|=sqrt(1^(2)+1^(2)-2xx1xxa cos 120^(@))=sqrt(3)`


Discussion

No Comment Found

Related InterviewSolutions