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What is the cross product of #[1, 4, -2]# and #[3, 0, 5] #?

Answer 1

Julia Aguilar

#20hatveci-11hatvecj-12hatveck#

the product of two vectors crosswise

#veca=[a_1,a_2,a_3]# and #vecb=[b_1,b_2,b_3]#

is computed using the specific

#vecaxxvecb=|(hatveci,hatvecj,hatveck),(a_1,a_2,a_3),(b_1,b_2,b_3)|#

so this is what we have here

#vecaxxvecb=|(hatveci,hatvecj,hatveck),(1,4,-2),(3,0,5)|#

increasing by Row 1

#=hatveci|(4,-2),(0,5)|-hatvecj|(1,-2),(3,5)|+hatveck|(1,4),(3,0)|#

#=(4xx5-0xx(-2))hatveci-(1xx5-3xx(-2))hatvecj+(1xx0-4xx3)hatveck#

#=20hatveci-11hatvecj-12hatveck#

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Answer 2

Parker Abbott

The cross product of [1, 4, -2] and [3, 0, 5] is [20, -13, -12].

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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.