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

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Answer 1 · 2016-04-19T18:02:34

$A X B = 13 i + 5 j + k$ $A X B=13i+5j+k$

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$A = [- 1, 2, 3]$ $A=[-1,2,3]$

$B = [1, - 3, 2]$ $B=[1,-3,2]$

$A X B = i (2 \cdot 2 + 3 \cdot 3) - j (- 1 \cdot 2 - 3 \cdot 1) + k ((- 1) \cdot (- 3) - 2 \cdot 1)$ $A X B=i(2*2+3*3)-j(-1*2-3*1)+k((-1)*(-3)-2*1)$

$A X B = i (4 + 9) - j (- 2 - 3) + k (3 - 2)$ $A X B=i(4+9)-j(-2-3)+k(3-2)$

$A X B = 13 i + 5 j + k$ $A X B=13i+5j+k$

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