
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 $$\overrightarrow {OA} = (-1, 3)$$, $$\overrightarrow {OB} = (3, -1)$$, $$\overrightarrow {OC} = (m, 1)$$  
(1) If $$\overrightarrow {AB}$$ is parallel to $$\overrightarrow {OC}$$, find the value of the real number $m$;  
(2) If $$\overrightarrow {AC}$$ is perpendicular to $$\overrightarrow {BC}$$, find the value of the real number $m$.

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