# What is the dot product of <8,4,1> and <4,-2,3 >?

$< 32 , - 8 , 3 >$
$A = \left({A}_{x} , {A}_{Y} , {A}_{z}\right)$
$B = \left({B}_{x} , {B}_{y} , {B}_{z}\right)$
$A \cdot B = \left({A}_{x} \cdot {B}_{x} , {A}_{y} \cdot {B}_{y} , {A}_{z} \cdot {B}_{z}\right)$
$< 8 , 4 , 1 > \cdot < 4 , - 2 , 3 > = < 8 \cdot 4 , - 4 \cdot 2 , 1 \cdot 3 >$
$< 32 , - 8 , 3 >$