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

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

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Answer 1 · 2015-12-14T07:02:25

$= [13, 26, 13]$ $=[13, 26, 13]$

Explanation:

The rule for cross products states that for two vectors, $\to a = [a_{1}, a_{2}, a_{3}]$ $vec a = [a_1, a_2, a_3]$ and $\to b = [b_{1}, b_{2}, b_{3}]$ $vec b = [b_1, b_2, b_3]$ ;

$\to a \times \to b = [a_{2} b_{3} - a_{3} b_{2}, a_{3} b_{1} - b_{3} a_{1}, a_{1} b_{2} - a_{2} b_{1}]$ $vec a xx vec b = [ a_2b_3-a_3b_2, a_3b_1 - b_3a_1, a_1b_2-a_2b_1 ]$

For the two vectors given, this means that;

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

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

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

$= [13, 26, 13]$ $=[13, 26, 13]$

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

1 Answer

Explanation:

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

1 Answer

Explanation:

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