What is the dot product of #<8,4,1># and #<4,-2,3 >#?

Answer 1

#<32,-8,3>#

#A=(A_x,A_Y,A_z)# #B=(B_x,B_y,B_z)# #A*B=(A_x*B_x,A_y*B_y,A_z*B_z)# #<8,4,1>*<4,-2,3> = <8*4,-4*2,1*3># #<32,-8,3>#
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Answer 2
The dot product of <8,4,1> and <4,-2,3> is 8*4 + 4*(-2) + 1*3 = 32 - 8 + 3 = 27. Therefore, the dot product is 27.
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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.

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.

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.

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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