
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 vectors $\overline {a}=(2, -1, 3)$, $\overline {b}=(-1, 4, -2)$, and $\overline {c}=(7, 5, \lambda)$. If $\overline {a}$, $\overline {b}$, and $\overline {c}$ are coplanar, then the projection of $\overline {c}$ onto $\overline {a}$ is __________.

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