A, B, C, and D are points in the Oxy plane. BA = 3i − 4j, AC = 2i − j, and D divides BC in the ratio 2:3, find AD

Step 1: Express $\vec{BC}$ in terms of the given vectors.
We know that $\vec{BC} = \vec{BA} + \vec{AC}$ is incorrect.
Instead, we can write $\vec{BC} = \vec{BA} + \vec{AC}$ is incorrect.
We can write $\vec{BC}