​ The angle between the line  = (î + ĵ – 2) + λ(2î – ĵ + ) and normal to the plane .(î + ĵ + 3) = 2 is – Options 1.   2.   3.   4.  

Dear Student,
Please find below the solution to the asked query:

Line is r=i^+j^-2k^+λ2i^-j^+k^Direction vector is given byAB=2i^-j^+k^Plane isr.i^+j^+3k^=2Direction nomral is given byCD=i^+j^+3k^If angle between line and normal is θ, thencosθ=AB.CDABCD=2i^-j^+k^.i^+j^+3k^4+1+11+1+9=2-1+3611=466θ=cos-1466

Hope this information will clear your doubts about this topic.

If you have any doubts just ask here on the ask and answer forum and our experts will try to help you out as soon as possible.
Regards

  • 0
What are you looking for?