What is the dot product of $< 1, 0, - 2 >$ $<1,0,-2 >$ and $< - 1, - 4, 1 >$ $<-1,-4,1 >$ ?

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What is the dot product of $< 1, 0, - 2 >$ $<1,0,-2 >$ and $< - 1, - 4, 1 >$ $<-1,-4,1 >$ ?

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Answer 1 · 2016-02-20T10:29:57

$< 1, 0, - 2 > \cdot < - 1, - 4, 1 >$ $<1,0,-2>*<-1,-4,1>$ = $(1 \times (- 1) + 0 \times (- 4) + (- 2) \times 1) = - 3$ $(1xx(-1)+0xx(-4)+(-2)xx1)=-3$

Explanation:

The dot product of vectors $< x_{1}, y_{1}, z_{1} >$ $< x_1,y_1,z_1 >$ and $< x_{2}, y_{2}, z_{2} >$ $< x_2,y_2,z_2 >$ 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, $< 1, 0, - 2 > \cdot < - 1, - 4, 1 >$ $<1,0,-2>*<-1,-4,1>$ = $(1 \times (- 1) + 0 \times (- 4) + (- 2) \times 1) = - 3 .$ $(1xx(-1)+0xx(-4)+(-2)xx1)=-3.$

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What is the dot product of $< 1, 0, - 2 >$ $<1,0,-2 >$ and $< - 1, - 4, 1 >$ $<-1,-4,1 >$ ?

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Explanation:

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What is the dot product of <1,0,−2><1,0,-2 > and <−1,−4,1><-1,-4,1 >?

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Explanation:

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What is the dot product of $< 1, 0, - 2 >$ $<1,0,-2 >$ and $< - 1, - 4, 1 >$ $<-1,-4,1 >$ ?