
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
Let $\{\overrightarrow{{e}_{1}}, \overrightarrow{{e}_{2}}, \overrightarrow{{e}_{3}}\}$ be a unit orthogonal basis of space vectors, $\overrightarrow{a}=3\overrightarrow{{e}_{1}}-4\overrightarrow{{e}_{2}}+2\overrightarrow{{e}_{3}}$, $\overrightarrow{b}=-2\overrightarrow{{e}_{1}}-3\overrightarrow{{e}_{2}}+4\overrightarrow{{e}_{3} }$. Then the coordinates of $\overrightarrow{a}+\overrightarrow{b}$ are ____.

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