# How do you compute the dot product for <1,2>*<3,4>?

Jul 5, 2016

$11.$

#### Explanation:

Let the vectors $\vec{x} = \left(a , b\right)$ and $\vec{y}$=$\left(c , d\right)$

Then, the Dot Product of these vectors, denoted by $\vec{x}$.$\vec{y}$=$a c + b d .$

In our case, the desired product $= 1 \cdot 3 + 2 \cdot 4 = 3 + 8 = 11$.