
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 vector $$\overrightarrow {a}$$\=(1, -1), b=(2, 1), and vector $$\overrightarrow {c}$$\=2 $$\overrightarrow {a}$$ + $$\overrightarrow {b}$$, find the magnitude of $$\overrightarrow {c}$$, denoted as | $$\overrightarrow {c}$$|.

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