Question
If $|\mathbf{a}|=2$ and $|\mathbf{b}|=3$ and the angle between $\mathbf{a}$ and $\mathbf{b}$ is $120^{\circ}$, then the length of the vector $\left|\frac{\mathbf{a}}{2}-\frac{\mathbf{b}}{3}\right|$ is
If $|\mathbf{a}|=2$ and $|\mathbf{b}|=3$ and the angle between $\mathbf{a}$ and $\mathbf{b}$ is $120^{\circ}$, then the length of the vector $\left|\frac{\mathbf{a}}{2}-\frac{\mathbf{b}}{3}\right|$ is