What is the cross product of <4 , 5 ,-9 ><4,5,−9> and <4, 1 ,-2 ><4,1,−2>?

1 Answer
David G.
Feb 5, 2016

The cross product of two vectors, (a, b, c)(a,b,c) and (d, e, f)(d,e,f), is given by: (bf-ce, cd-af, ae-bd)(bf−ce,cd−af,ae−bd). In this case the solution is <-1,-28,-16><−1,−28,−16>.

Explanation:

<4,5,-9> xx <4,1,-2><4,5,−9>×<4,1,−2>

= <( 5.(-2)-(-9).1, (-9).4-4.(-2), 4.1-5.4 ><(5.(−2)−(−9).1,(−9).4−4.(−2),4.1−5.4>

= <-1,-28,-16><−1,−28,−16>

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