What is the dot product of $<-1,-2,1>$ and $<-1, 2,3 >$ ?

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Answer 1 · 2018-03-17T09:41:30

The dot product is $=0$

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

$< x_1,x_2,x_3> .< y_1,y_2,y_3 > = x_1y_1+x_2y_2+x_3y_3$

Therefore,

$< -1, -2, 1> .< -1, 2, 3 > = (-1)*(-1)+ (-2)*(2)+(1)*(3)$

$=1-4+3$

$=0$

As the dot product is $=0$ , the vectors are orthogonal.

What is the dot product of <-1,-2,1><-1,-2,1> and <-1, 2,3 ><-1, 2,3 >?