What is the cross product of $[4,-3,2]$ and $[3,1,-5]$ ?

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Answer 1 · 2015-12-14T07:02:25

$=[13, 26, 13]$

The rule for cross products states that for two vectors, $vec a = [a_1, a_2, a_3]$ and $vec b = [b_1, b_2, b_3]$ ;

$vec a xx vec b = [ a_2b_3-a_3b_2, a_3b_1 - b_3a_1, a_1b_2-a_2b_1 ]$

For the two vectors given, this means that;

$[4, ~3, 2] xx [3, 1, ~5]$

$= [(~3)(~5)-(2)(1), (2)(3) - (~5)(4), (4)(1)-(~3)(3) ]$

$=[15-2, 6+20, 4+9]$

$=[13, 26, 13]$

What is the cross product of [4,-3,2][4,-3,2] and [3,1,-5] [3,1,-5] ?