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The lines `vecr=(2hati-3hatj+7hatk)+lamda(2hati+phatj+5hatk)` and `vecr=(hati+2hatj+3hatk)+mu(3hati-phatj+phatk)` are perpendicular it `p=`
A. `-6,-1`
B. `-1,6`
C. `2,3`
D. none of these

1 Answer

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Best answer
Correct Answer - B
Given lines are parallel to the vectors `vecb_(1)=2hati+phatj+5hatk` and `vecb_(2)=3hati-phatj+phatk` respectively.
If the lines are perpendicular then
`vecp_(1).vecp_(2)=0implies6-p^(2)+5p=0impliesp=-1,6`

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