# How do you compute the dot product for <4, 5>*<2, 3>?

The dot product of 2 vectors, $\vec{u}$ and $\vec{v}$
If vecu =〈x₁,y₁〉 and vecv=〈x₂,y₂〉
Then the dot product is vecu*vecv=x₁x₂+y₁y₂
So the dot product is $\left(4 \cdot 2 + 5 \cdot 3\right) = 23$