What is the cross product of #[-3,0,1]# and #[1,-2,3] #?

1 Answer
Euan S.
Jul 7, 2016

#=2vec(i) + 10vec(j) + 6vec(k)#

Explanation:

#[(vec(i), vec(j), vec(k)),(-3,0,1),(1,-2,3)] = vec(i)[(0,1),(-2,3)] - vec(j)[(-3,1),(1,3)] + vec(k)[(-3,0),(1,-2)]#

#=vec(i)(0*3 - 1*(-2)) - vec(j)((-3)*3 - 1*1) + vec(k)((-3)*(-2) - 0*1)#

#=2vec(i) + 10vec(j) + 6vec(k)#

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