What is the dot product of $< - 4, 5, - 2 >$ $<-4,5,-2>$ and $< - 2, 4, 1 >$ $<-2,4,1>$ ?

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What is the dot product of $< - 4, 5, - 2 >$ $<-4,5,-2>$ and $< - 2, 4, 1 >$ $<-2,4,1>$ ?

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Answer 1 · 2016-02-28T06:37:40

For two vectors $< x_{1}, y_{1}, z_{1} >$ $< x_1, y_1, z_1 >$ and $< x_{2}, y_{2}, z_{2} >$ $< x_2, y_2, z_2 >$ , the dot product is $x_{1} x_{2} + y_{1} y_{2} + z_{1} z_{2}$ $x_1x_2+y_1y_2+z_1z_2$ . In this case the dot product is $8 + 20 - 2 = 26$ $8+20-2 = 26$ . The dot product of two vectors is a scalar.

Explanation:

Just showing it in a little more detail:

$< - 4, 5, - 2 > \cdot < - 2, 4, 1 > = ((- 4 \times - 2) + (5 \times 4) + (- 2 \times 1))$ $< -4, 5, -2 > * <-2, 4, 1 > =((-4xx-2)+(5xx4)+(-2xx1))$
$= 8 + 20 - 2 = 26$ $= 8+20-2 = 26$

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What is the dot product of $< - 4, 5, - 2 >$ $<-4,5,-2>$ and $< - 2, 4, 1 >$ $<-2,4,1>$ ?

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What is the dot product of <−4,5,−2><-4,5,-2> and <−2,4,1><-2,4,1>?

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What is the dot product of $< - 4, 5, - 2 >$ $<-4,5,-2>$ and $< - 2, 4, 1 >$ $<-2,4,1>$ ?