
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
Express in terms of the unit vectors $\bar{i}, \bar{j}, \bar{k}$ the unit vector $\overline{a^{0}}$ of the vector

$$
\bar{a}=\overline{3 i}-4 \bar{j}+6 \bar{k}
$$

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