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The dot product <1, -2, 2> ⋅<-1,1,3> is equal to

Question

The dot product <1, -2, 2> ⋅<-1,1,3> is equal to

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Solution

The dot product of two vectors is calculated by multiplying the corresponding entries of the two vectors and then adding those products together.

So, for the vectors <1, -2, 2> and <-1,1,3>, the dot product is calculated as follows:

(1*-1) + (-21) + (23) = -1 - 2 + 6 = 3.

So, the dot product <1, -2, 2> ⋅<-1,1,3> is equal to 3.

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