Clock Face: The Maximum Dot Product

Think about the question below. Only one of the answers listed is correct. We'll do some (but probably not all) of these questions in the lectures when you will all be asked to vote on which answer you think is correct. (Soon afterwards, you'll be able to see your responses, and those of the whole class at EVAF.)

Let $\vec{H}$ and $\vec{M}$ represent the hour and minute hands of a clock. Identify the time at which the dot product $\vec{M}\cdot \vec{H}$ is maximal:
1
3.00
2
6.00
3
12.00