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

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Answer 1 · 2017-08-22T16:09:07

The answer is $=33$

The dot product of $2$ vectors, $veca= < x_1, x_2, x_3>$ and $vecb = < y_1, y_2, y_3>$ is

$veca.vecb=< x_1, x_2, x_3>.< y_1, y_2, y_3>$

$=x_1y_1+x_2y_2+x_3y_3$

Therefore,

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

$=5+12+16=33$

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