What is the dot product of $< - 5, 2, 8 >$ $<-5,2,8 >$ and $< - 1, 6, 2 >$ $<-1,6,2 >$ ?

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What is the dot product of $< - 5, 2, 8 >$ $<-5,2,8 >$ and $< - 1, 6, 2 >$ $<-1,6,2 >$ ?

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Answer 1 · 2017-08-22T16:09:07

The answer is $= 33$ $=33$

Explanation:

The dot product of $2$ $2$ vectors, $\to a = < x_{1}, x_{2}, x_{3} >$ $veca= < x_1, x_2, x_3>$ and $\to b = < y_{1}, y_{2}, y_{3} >$ $vecb = < y_1, y_2, y_3>$ is

$\to a . \to b = < x_{1}, x_{2}, x_{3} > . < y_{1}, y_{2}, y_{3} >$ $veca.vecb=< x_1, x_2, x_3>.< y_1, y_2, y_3>$

$= x_{1} y_{1} + x_{2} y_{2} + x_{3} y_{3}$ $=x_1y_1+x_2y_2+x_3y_3$

Therefore,

$< - 5, 2, 8 > . < - 1, 6, 2 > = (- 5 \cdot - 1) + (2 \cdot 6) + (8 \cdot 2)$ $< -5, 2, 8>.< -1, 6, 2> = (-5*-1)+(2*6)+(8*2)$

$= 5 + 12 + 16 = 33$ $=5+12+16=33$

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What is the dot product of $< - 5, 2, 8 >$ $<-5,2,8 >$ and $< - 1, 6, 2 >$ $<-1,6,2 >$ ?

1 Answer

Explanation:

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What is the dot product of <−5,2,8><-5,2,8 > and <−1,6,2><-1,6,2 >?

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What is the dot product of $< - 5, 2, 8 >$ $<-5,2,8 >$ and $< - 1, 6, 2 >$ $<-1,6,2 >$ ?