What is the cross product of $< 7, 4, 1 >$ $<7 ,4 ,1 >$ and $< - 5, 2, 8 >$ $<-5 ,2 ,8 >$ ?

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What is the cross product of $< 7, 4, 1 >$ $<7 ,4 ,1 >$ and $< - 5, 2, 8 >$ $<-5 ,2 ,8 >$ ?

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Answer 1 · 2016-06-26T06:29:32

Cross product is $< 30, - 61, 34 >$ $< 30, -61, 34 >$

Explanation:

Cross product of $< a_{1}, a_{2}, a_{3} >$ $< a_1, a_2, a_3 >$ and $< b_{1}, b_{2}, b_{3} >$ $< b_1, b_2, b_3 >$ is

$< (a_{2} \cdot b_{3} - a_{3} \cdot b_{2}), (a_{3} \cdot b_{1} - a_{1} \cdot b_{3}), (a_{1} \cdot b_{2} - a_{2} \cdot b_{1}) >$ $< (a_2*b_3-a_3*b_2),(a_3*b_1-a_1*b_3),(a_1*b_2-a_2*b_1) >$

Hence cross product of $< 7, 4, 1 >$ $< 7, 4, 1 >$ and $< - 5, 2, 8 >$ $< -5, 2, 8 >$

is $< (4 \cdot 8 - 1 \cdot 2), (1 \cdot (- 5) - 7 \cdot 8), (7 \cdot 2 - 4 \cdot (- 5)) >$ $< (4*8-1*2), (1*(-5)-7*8), (7*2-4*(-5)) >$

i.e. $< (32 - 2), (- 5 - 56), (14 + 20) >$ $< (32-2),(-5-56),(14+20) >$

or $< 30, - 61, 34 >$ $< 30, -61, 34 >$

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What is the cross product of $< 7, 4, 1 >$ $<7 ,4 ,1 >$ and $< - 5, 2, 8 >$ $<-5 ,2 ,8 >$ ?

1 Answer

Explanation:

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What is the cross product of <7 ,4 ,1 ><7,4,1><7 ,4 ,1 > and <-5 ,2 ,8 ><−5,2,8><-5 ,2 ,8 >?

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Explanation:

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What is the cross product of $< 7, 4, 1 >$ $<7 ,4 ,1 >$ and $< - 5, 2, 8 >$ $<-5 ,2 ,8 >$ ?