
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
In \\(\triangle ABC\\), the sides opposite to angles \\(A\\), \\(B\\), and \\(C\\) are denoted as \\(a\\), \\(b\\), and \\(c\\) respectively. Given that \\(b=3\\), \\(\overrightarrow{AB} \cdot \overrightarrow{AC} = -6\\), and the area of \\(\triangle ABC\\), \\(S_{\triangle ABC} = 3\\), find \\(A\\) and \\(a\\).

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