# How do you find the inner product and state whether the vectors are perpendicular given <5,-1>*<-3,6>?

Oct 19, 2016

Dot product $= - 21$ and vectors are not perpendicular

#### Explanation:

Let the vectors be $\vec{u} = \left(5 , - 1\right)$
and $\vec{v} = \left(- 3 , 6\right)$
Then the ot product or inner product is $\vec{u} . \vec{v}$
$= 5 \cdot - 3 + 6 \cdot - 1 = - 21$
The vectors are not perpendicular as the dot product $\ne 0$