What is the unit vector that is normal to the plane containing (- 3 i + j -k) and (2i+ j - 3k)?

1 Answer
Feb 4, 2016

C=-2i-11j-5k

Explanation:

A=-3i+j-k
B=2i+j-3k
C=A X B
"cross product A X B is normal to the plane"
"C is normal to the plane"
C=i(-3*1-(-1*1))-j((-3*-3)-(-1*2))+k(-3*1-2*1)
C=i(-3+1)-j(9+2)+k(-3-2)
C=-2i-11j-5k