Find the equivalent resistance between points A and B for the network shown in the figure.

Resistance between points C and B \[\begin{aligned} & \frac{1}{\mathrm{R}}=\frac{1}{\mathrm{R}_{1}}+\frac{1}{\mathrm{R}_{2}}+\frac{1}{\mathrm{R}_{3}} \\ & \frac{1}{\mathrm{R}}=\frac{1}{15}+\frac{1}{45}+\frac{1}{45} \\ & \mathrm{R}=9 \Omega \\ & \text { Equivalent resistance between points } \mathrm{A} \text { and } \mathrm{B} \end{aligned} \]