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

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

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Answer 1 · 2016-02-08T12:41:38

$P X Q = 28 j - 12 k$ $P X Q=28j-12k$

Explanation:

$P (a, b, c); Q (d, e, f)$ $P(a,b,c); Q(d,e,f)$
$P X Q = i (b \cdot f - c \cdot e) - j (a \cdot f - c \cdot d) + k (a \cdot e - b \cdot d)$ $P X Q=i(b*f-c*e)-j(a*f-c*d)+k(a*e-b*d)$
$(4, - 4, 4) X (5, 2, - 2) = i (8 - 8) - j (- 28) + k (- 12)$ $(4,-4,4) X (5,2,-2)=i(8-8)-j(-28)+k(-12)$
$P X Q = 28 j - 12 k$ $P X Q=28j-12k$

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

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