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

Answer 1

Olivia Askew

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

Cross product of #< a_1, a_2, a_3 ># and #< b_1, b_2, b_3 ># is

# < (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 ># and #< -5, 2, 8 >#

is #< (4*8-1*2), (1*(-5)-7*8), (7*2-4*(-5)) >#

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

or #< 30, -61, 34 >#

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Answer 2

Benjamin Asiedu

The cross product is <-36, -57, 38>.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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What is the cross product of #&lt;7 ,4 ,1 &gt;# and #&lt;-5 ,2 ,8 &gt;#?

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