What is the cross product of [-1, 2, 3] and [-8, 5, 1] ?

1 Answer
Narad T.
Nov 3, 2016

The cross product is =〈-13,-23,11〉

Explanation:

If we have 2 vectors vecu=〈u_1,u_2,u_3〉
and vecv=〈v_1,v_2,v_3〉
The cross product is given by the determinant
∣((veci,vecj,veck),(u_1,u_2,u_3),(v_1,v_2,v_3))∣

=veci(u_2v_3-u_3v_2)-vecj(u_1v_3-u_3v_1)+veck(u_1v_2-u_2v_1)

Here we have vecu=〈-1,2,3〉 and vecv=〈-8,5,1〉
so the cross product is 〈(2-15),-(-1+24),(-5+16)〉
=〈-13,-23,11〉

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