# What is the dot product of <-4,-3,8 > and <3,-1,7 >?

Feb 20, 2016

$\vec{a} . \vec{b}$ = $47$

#### Explanation:

We know,
$\vec{a} . \vec{b}$ = ${a}_{x} . {b}_{x} + {a}_{y} . {b}_{y} + {a}_{Z} . {b}_{z}$

= (-4) · 3 + (-3) · (-1) + 8 · 7

= $- 12 + 3 + 56$

=47