What is the cross product of #<-2, 5 ,-2 ># and #<-1, -9 ,2 >#?

1 Answer
Douglas K.
Nov 18, 2016

#< -2, 5, -2 > xx < -1, - 9, 2 > = <-8, 6, 23 >#

Explanation:

#< -2, 5, -2 > xx < -1, - 9, 2 > =#

#| (hati, hatj, hatk, hati, hatj), (-2, 5, -2, -2, 5), (-1, -9, 2, -1, -9) | = #

#{(5)(2) - (-2)(-9)}hati + {(-2)(-1) - (-2)(2)}hatj + {(-2)(-9) - (5)(-1)}hatk = #

#-8hati + 6hatj + 23hatk = <-8, 6, 23 >#

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