InterviewSolution
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InterviewSolution
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The angle between the lines `vecr=(hati+hatj+hatk)+lamda(hati+hatj+2hatk)` and `vecr=(hati+hatj+hatk)+mu{(-sqrt(3)-1)hati+(sqrt(3)-1)hatj+4hatk}` isA. `(pi)/6`B. `(pi)/4`C. `(pi)/3`D. `(2pi)/3` |
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Answer» Correct Answer - C Given lines are parallel to the vectors `vecb_(1)=hati+hatj+2hatk` and `vecb_(2)=(-sqrt(3)-1)hati+(sqrt(3)-1)hatj+4hatk` Let `theta` the angel between the given lines. Then, `cos theta=(vecb_(1).vecb_(2))/(|vecb_(1)||vecb_(2)|)` `impliescos theta=(-sqrt(3)-1+sqrt(3)-1+8)/(sqrt(1+1+4)sqrt((-sqrt(3)-1)^(2)+(sqrt(3)-1)^(2)+16))=1/2` `implies theta=(pi)/3` |
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