
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. Let the area of \\(\triangle ABC\\) be \\(S\\), and it is given that \\(4S= \sqrt {3}(a^{2}+c^{2}-b^{2})\\).  
\\((1)\\) Find the measure of \\(\angle B\\);  
\\((2)\\) Let vector \\( \overrightarrow{m}=(\sin 2A,3\cos A)\\) and vector \\( \overrightarrow{n}=(3,-2\cos A)\\), find the range of \\( \overrightarrow{m}\cdot \overrightarrow{n}\\).

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