What is the dot product of #<-2,5,-7># and #<8,-3,1>#?
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To find the dot product of two vectors, you multiply the corresponding components of each vector and then sum the results.
For vectors ( \langle -2, 5, -7 \rangle ) and ( \langle 8, -3, 1 \rangle ), the dot product is calculated as follows:
( -2 \times 8 + 5 \times (-3) + (-7) \times 1 )
= ( (-16) + (-15) + (-7) )
= ( -16 - 15 - 7 )
= ( -38 )
Therefore, the dot product of ( \langle -2, 5, -7 \rangle ) and ( \langle 8, -3, 1 \rangle ) is ( -38 ).
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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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