
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 that the angle between vectors $\overrightarrow{a}$ and $\overrightarrow{b}$ is $\dfrac {5}{6}π$, and the magnitudes of the vectors are $| \overrightarrow{a}|=2$ and $| \overrightarrow{b}|= \sqrt {3}$, find the magnitude of $|3 \overrightarrow{a}+2 \overrightarrow{b}|$ and the angle between $3 \overrightarrow{a}+2 \overrightarrow{b}$ and $\overrightarrow{a}$.

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