
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 points A(-2, 4), B(3, -1), C(-3, -4), and $\overrightarrow {CM} = 3\overrightarrow {CA}$, $\overrightarrow {CN} = 2\overrightarrow {CB}$, find the coordinates of points N and M, the coordinates of vector $\overrightarrow {MN}$, and the distance between points M and N.

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