
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 a triangle $\Delta \text{A} \text{B} \text{C}$ with internal angles $\text{A}$, $\text{B}$, and $\text{C}$ opposite to sides $a$, $b$, and $c$, respectively. If vectors $\vec{m}=( a,\sqrt{3}b )$ and $\vec{n}=( \cos \text{A} ,\sin \text{B} )$ are collinear.

(I) Find $\text{A}$;
(II) If $a=\sqrt{7}$, $b=2$, find the area of $\Delta \text{A} \text{B} \text{C}$.

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