What is the unit vector that is orthogonal to the plane containing (i+jk) and (ij+k)?

1 Answer
Mar 17, 2018

We know that if C=A×B then C is perpendicular to both A and B

So,what we need is just to find the cross product of the given two vectors.

So,(ˆi+ˆjˆk)×(ˆiˆj+ˆk)=ˆkˆjˆk+ˆiˆji=2(ˆk+ˆj)

So,the unit vector is 2(ˆk+ˆj)22+22=ˆk+ˆj2