
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
In the Cartesian coordinate system $xOy$, let there be points A$(-1,-2)$ and B$(2,3)$.
1. Find the vector $\overrightarrow{AB}$.
2. If vector $\overrightarrow{a} \parallel \overrightarrow{AB}$ and $\overrightarrow{a} = (1,k)$, find $k$.

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