
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 that the angle between the unit vectors $\overrightarrow {e}_{1}$ and $\overrightarrow {e}_{2}$ is 60°, find the projection of the vector $\overrightarrow {e_{2}}-2 \overrightarrow {e_{1}}$ in the direction of $\overrightarrow {e_{1}}+ \overrightarrow {e_{2}}$.

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