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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)` |
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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)` |
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