If the angle between theplane `x-3y+2z=1`and the line `(x-1)/2=(y-1)/1 – InterviewSolution

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1.	If the angle between theplane `x-3y+2z=1`and the line `(x-1)/2=(y-1)/1=(z-1)/(-3)i stheta,`then the find the value of `cos e cthetadot`
Answer» Correct Answer - `2` Vector normal to the plane is `vecn=hati-3hatj+2hatk` and vector along the line is `vecv= 2hati+hatj- 3hatk` Now `" "sintheta = (vecx*vecv)/(\|vecx\|\|vecv\|)= \|(2-3-6)/(sqr(14)sqrt(14))\|=\|(7)/(14)\|` Hence, `cosec theta = 2`

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