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

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Answer 1 · 2016-02-22T23:15:26

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

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:

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

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