
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 $P = \{a | a = (1,0) + m(0,1), m \in \mathbb{R}\}$ and $Q = \{b | b = (1,1) + n(-1,1), n \in \mathbb{R}\}$ are two sets of vectors, then $P \cap Q = \_\_\_\_\_\_\_\_$.

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