What is the cross product of $[4,-3,2]$ and $[1,-2,3]$ ?

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Answer 1 · 2016-06-13T12:58:20

It is $(-5, -10, -5)$ .

Given two vectors $v_1=(x_1, y_1, z_1)$ and $v_2=(x_2, y_2, z_2)$ the cross product

$v_1\times v_2$ is given by

$v_1\times v_2=(y_1z_2-z_1y_2, z_1x_2-x_1z_2, x_1y_2-x_2y_1)$ .

For your two vectors it is

$(4, -3, 2)\times(1, -2, 3)$
$=(-3*3-2*(-2), 2*1-4*3, 4*(-2)-(-3)*1)$
$=(-9+4, 2-12, -8+3)$
$=(-5, -10, -5)$ .

What is the cross product of [4,-3,2][4,-3,2] and [1,-2,3] [1,-2,3] ?