What is the cross product of #<-3,5,8 ># and #<6, -2, 7 >#?

1 Answer
David G.
Feb 22, 2016

The cross product #<-3,5,8> xx <6,-2,7> = <(5*7-8*(-2)),(8*6-(-3)*7),((-3*7-8*6)> = <(35+16),(48+21),(6-30)>=<51,69,-24>#

Explanation:

The cross product of vectors # < a_1, b_1, c_1> xx < a_2, b_2, c_2> = <(b_1c_2-c_1b_2),(c_1a_2-a_1c_2),(a_1b_2-b_1a_2)> #

For the vectors in the question:

# < -3,5,8> xx <6,-2,7> = <(5xx7-8xx(-2)),(8xx6-(-3)xx7),((-3xx(-2)-5xx6)> = <(35+16),(48+21),(6-30)> =<51,69,-24>#

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