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What is the cross product of #<-3,5,8 ># and #<6, -2, 7 >#?

Answer 1

Nathan Ashcroft

The vector is #=〈51,69,-24〉=#

#=〈51,69,-24〉=vecc#

Verification using the two dot method

#〈51,69,-24〉.〈-3,5,8〉=-51*3+69*5-24*8=0#

51*6-69*2-24*7=0# #〈51,69,-24〉.〈6,-2,7〉.

Thus,

#vecb# and #veca# are perpendicular to #vecc#.

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Answer 2

Adrian Ayala

#=(51,69,-24).#

Let, #vecx=(-3,5,8)=-3i+5j+8k,# and,

#vecy=(6,-2,7)=6i-2j+7k.#

#:. vecx xx vecy=|(i,j,k),(-3,5,8),(6,-2,7)|#

#=(35-(-16))i-(-21-48)j+(6-30)k#

#=51i+69j-24k#

#=(51,69,-24).#

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Answer 3

Charlotte Aaron

The cross product of the vectors <-3, 5, 8> and <6, -2, 7> is <-59, -66, -36>.

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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.

What is the cross product of #&lt;-3,5,8 &gt;# and #&lt;6, -2, 7 &gt;#?

What is the cross product of #<-3,5,8 ># and #<6, -2, 7 >#?