What is the cross product of $[0, 8, 5]$ $[0,8,5]$ and $[2, 4, 8]$ $[2, 4, 8]$ ?

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What is the cross product of $[0, 8, 5]$ $[0,8,5]$ and $[2, 4, 8]$ $[2, 4, 8]$ ?

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Answer 1 · 2016-11-21T07:11:57

The cross product is $[44, 10, - 16]$ $[44,10,-16]$ .

Explanation:

Let us consider [0,8,5] as $\to A = 8 ˆ j + 5 ˆ k$ $vecA=8hatj+5hatk$ and similarly [2,4,8] as $\to B = 2 ˆ i + 4 ˆ j + 8 ˆ k$ $vecB=2hati+4hatj+8hatk$ .
So, the cross product of these two vectors is $\to A \times \to B$ $vecAxxvecB$ ,
$\to A \times \to B = ˆ i [64 - 20} - ˆ j [0 - 10] + ˆ k [0 - 16] = 44 ˆ i + 10 ˆ j - 16 ˆ k$ $vecAxxvecB=hati[64-20}-hatj[0-10]+hatk[0-16] =44hati+10hatj-16hatk$ .
$:.$ The cross product of $[0,8,5]$ and $[2,4,8]$ is $[44,10,-16]$ .

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What is the cross product of $[0, 8, 5]$ $[0,8,5]$ and $[2, 4, 8]$ $[2, 4, 8]$ ?

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Explanation:

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