Question
If the angle between the vectors $\vec{a}$ and $\vec{b}$ is $\frac{\pi}{3}$ and the area of the triangle with adjacent sides parallel to $\vec{a}$ and $\vec{b}$ is 3, then what is the value of $\vec{a} \cdot \vec{b}$?
If the angle between the vectors $\vec{a}$ and $\vec{b}$ is $\frac{\pi}{3}$ and the area of the triangle with adjacent sides parallel to $\vec{a}$ and $\vec{b}$ is 3, then what is the value of $\vec{a} \cdot \vec{b}$?