What is the cross product of $< 3, 1, - 6 >$ $<3 ,1 ,-6 >$ and $< - 2, - 4, 8 >$ $<-2 ,-4 , 8 >$ ?

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What is the cross product of $< 3, 1, - 6 >$ $<3 ,1 ,-6 >$ and $< - 2, - 4, 8 >$ $<-2 ,-4 , 8 >$ ?

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Answer 1 · 2016-03-14T13:33:47

$A X B = < - 16, 12, - 10 >$ $A X B= <-16,12,-10>$

Explanation:

$A = (A_{x}, A_{y}, A_{z}) B = (B_{x}, B_{y}, B_{z})$ $A=(A_x ,A_y,A_z) " "B=(B_x,B_y,B_z)$
$A X B = (A_{y} B_{z} - A_{z} B_{y}), (A_{x} B_{z} - A_{z} B_{x}), (A_{x} B_{y} - A_{y} B_{x})$ $A X B=(A_y B_z-A_z B_y),(A_x B_z-A_z B_x),(A_x B_y-A_y B_x)$
$A X B = (8 - 24), (24 - 12), (- 12 + 2)$ $A X B=(8-24),(24-12),(-12+2)$
$A X B = (- 16, 12, - 10)$ $A X B=(-16,12,-10)$

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What is the cross product of $< 3, 1, - 6 >$ $<3 ,1 ,-6 >$ and $< - 2, - 4, 8 >$ $<-2 ,-4 , 8 >$ ?

1 Answer

Explanation:

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What is the cross product of <3,1,−6><3 ,1 ,-6 > and <−2,−4,8><-2 ,-4 , 8 >?

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Explanation:

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What is the cross product of $< 3, 1, - 6 >$ $<3 ,1 ,-6 >$ and $< - 2, - 4, 8 >$ $<-2 ,-4 , 8 >$ ?