Finding Normal Vector

Question

Find a vector normal (i.e. perpendicular) to the given vectors ~a = ˆi+ˆj+ˆk, ~b = 2ˆi+2ˆj−2ˆk

Answer 1

Take the cross product of the two vectors: Det | i j k|

| 1 1 1| = <-2-2,2+2,2-2> = <-4,-4,0>

| 2 2 -2|

You can normalize by dividing by sqrt(4²+4²)

Please consider a tutor. Take care.