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

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

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Answer 1 · 2016-02-13T13:00:32

$A X B=<8,-11-13>$

Explanation:

$(a,b,c)X(d,e,f)=(b*f-e*c)-(a*f-c*d)+(a*e-b*d)$
$A=(2,5,-3) " ;B="(5,6,-2)$
$A X B=(5*(-2)-(-3*6))-(2*(-2)-(-3*5))+(2*6-5*5)$
$A X B=(-10+18)-(-4+15)+(12-25)$
$A X B=8i-11j-13k$
$A X B=<8,-11-13>$

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

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

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