
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
If $\overrightarrow {e_{1}}$ and $\overrightarrow {e_{2}}$ are two non-collinear vectors, determine the value of $\lambda$ given that $\overrightarrow {a}=2\overrightarrow {e_{1}}-3\overrightarrow {e_{2}}$ is collinear with vector $\overrightarrow {b}=3\overrightarrow {e_{1}}+\lambda\overrightarrow {e_{2}}$.

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