
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


system
Given triangle $ABC$, where $A$, $B$, and $C$ correspond to $a$, $b$, and $c$ respectively. If $a=4$, $b=6$, and $C=60^{\circ}$.

1. Find the dot product of $\overrightarrow{BC}$ and $\overrightarrow{CA}$.
2. Find the projection of $\overrightarrow{CA}$ on $\overrightarrow{BC}$.

Present the answer in LaTex format: \boxed{Your answer}
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