
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
1. Given $\overrightarrow {a}$ = (-3, 4), find the coordinates of the unit vector $\overrightarrow {a_{0}}$ that is in the opposite direction of $\overrightarrow {a}$.
2. Given $\overrightarrow {a}$ = (4, 6), $\overrightarrow {b}$ = (2, $x^2 - 2x$), and $\overrightarrow {a}$ is parallel to $\overrightarrow {b}$, find the value of the real number $x$.
3. Given $\overrightarrow {a}$ = (2, 5), find the equation of the line passing through the point A(1, 3) and is collinear with $\overrightarrow {a}$.

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