Find a unit vector perpendicular to each of the vectors `hati+2hatj-3h – InterviewSolution

InterviewSolution

1.	Find a unit vector perpendicular to each of the vectors `hati+2hatj-3hatk` and `hati-2hatj+hatk`.
Answer» Let `vecA=hati+2hatj-3hatk` `vecB=hati-2hatj+hatk` and let `vecC` is the vector given by the cross producty of `vecA`, `vecB` and `vecC` is perpendicular to the plane containing `vecA` and `vecB` `vecC=vecAxxvecB` Using Determinant method `\|{:(hati,hatj,hatk),(1,-2,-3),(1,-2,1):}\|=hati(-9+8)-hatj(6-4)+hatk(-4+3)=(-hati-2hatj-hatk)`

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