
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
Let \\(p:\\) real number \\(x\\) satisfies \\(x^2 - 4ax + 3a^2 < 0\\), where \\(a > 0\\), and proposition \\(q:\\) real number \\(x\\) satisfies 
\[
\begin{cases} 
& x^2 - x - 6 \leqslant 0, \\
& x^2 + 2x - 8 > 0. 
\end{cases}
\]

\\((1)\\) If \\(a=1\\) and \\(p \wedge q\\) is true, find the range of real numbers \\(x\\);

\\((2)\\) If \\(q\\) is a sufficient but not necessary condition for \\(p\\), find the range of real numbers \\(a\\).

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