What is the cross product of $< 7, 5, 6 >$ $<7, 5 ,6 >$ and $< 3, 5, - 2 >$ $<3 ,5 ,-2 >$ ?

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What is the cross product of $< 7, 5, 6 >$ $<7, 5 ,6 >$ and $< 3, 5, - 2 >$ $<3 ,5 ,-2 >$ ?

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Answer 1 · 2016-11-07T02:32:57

The cross product of given coordinates is
$- 4 (10 ˆ i - 8 ˆ j - 5 ˆ k)$ $-4(10hati-8hatj-5hatk)$ .

Explanation:

Let us consider $\to A = (7, 5, 6), \to B = (3, 5, - 2)$ $vecA=(7, 5, 6), vecB=(3, 5, -2)$ as $\to A = 7 ˆ i + 5 ˆ j + 6 ˆ k$ $vecA= 7hati+5hatj+6hatk$ , $\to B = 3 ˆ i + 5 ˆ j - 2 ˆ k$ $vecB=3hati+5hatj-2hatk$
$\to A \times \to B = ˆ i (- 10 - 30) - ˆ j (- 14 - 18) + ˆ k (35 - 15)$ $vecAxxvecB = hati(-10-30)-hatj(-14-18)+hatk(35-15)$
$\Rightarrow - 40 ˆ i + 32 ˆ j + 20 ˆ k$ $=> -40hati+32hatj+20hatk$
$:. vecAxxvecB = -4(10hati-8hatj-5hatk)$ .

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What is the cross product of $< 7, 5, 6 >$ $<7, 5 ,6 >$ and $< 3, 5, - 2 >$ $<3 ,5 ,-2 >$ ?

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Explanation:

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What is the cross product of <7, 5 ,6 ><7,5,6><7, 5 ,6 > and <3 ,5 ,-2 ><3,5,−2><3 ,5 ,-2 >?

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What is the cross product of $< 7, 5, 6 >$ $<7, 5 ,6 >$ and $< 3, 5, - 2 >$ $<3 ,5 ,-2 >$ ?