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

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

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Answer 1 · 2016-02-04T15:35:43

#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#

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

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