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

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

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Answer 1 · 2016-10-02T18:45:34

$5 ˆ i + 5 ˆ j - 5 ˆ k$ $5hati + 5hatj - 5hatk$

Explanation:

I use a 5 column matrix to compute the cross product:
|i....j.....k|i....j|
|3 -1....2|3 -1|
|1. -2. -1|1. -2|

$= ˆ i {(- 1) (- 1) - (2) (- 2)} + ˆ j {(2) (1) - (3) (- 1)} + ˆ k {(3) (- 2) - (- 1) (1)}$ $= hati{(-1)(-1) - (2)(-2)} + hatj{(2)(1) - (3)(-1)} + hatk{(3)(-2)-(-1)(1)}$

$= 5 ˆ i + 5 ˆ j - 5 ˆ k$ $= 5hati + 5hatj - 5hatk$

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

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Explanation:

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

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