InterviewSolution
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InterviewSolution
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If the projection of the vector a on b is `|axxb|` and if `3b=hati+hatj+hatk`, then the angle between a and b isA. `(pi)/(3)`B. `(pi)/(2)`C. `(pi)/(4)`D. `(pi)/(6)` |
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Answer» Correct Answer - A Given ,projection of `a on b=|axxb|` `rArr (a.b)/(|b|)=|axxb|` `rArr (|a||b|costheta)/(|b|)=|a||b|sintheta` `rArr tan theta=(1)/(|b|)` `rArr tan theta= (1)/((1)/(3)sqrt(1^2+1^2+1^2))` `rArr tan theta = sqrt(3)` `rArr theta=(pi)/(3)` . |
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