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

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Answer 1 · 2016-07-07T23:05:22

$= 2 \to i + 10 \to j + 6 \to k$ $=2vec(i) + 10vec(j) + 6vec(k)$

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

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

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

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