
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 vector $\overrightarrow {a}$=(1,0), $|\overrightarrow {b}|=2$, the angle between $\overrightarrow {a}$ and $\overrightarrow {b}$ is 60°. If $\overrightarrow {c}$=$\overrightarrow {a}$+$\overrightarrow {b}$, $\overrightarrow {d}$=$\overrightarrow {a}$−$\overrightarrow {b}$, then the projection of $\overrightarrow {c}$ on $\overrightarrow {d}$ is _____.

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