
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 $\overrightarrow {a}=(3,-4)$, $\overrightarrow {b}=(2,x)$, $\overrightarrow {c}=(2,y)$, it is known that $\overrightarrow {a}$ is parallel to $\overrightarrow {b}$, and $\overrightarrow {a}$ is perpendicular to $\overrightarrow {c}$. Find the coordinates of $\overrightarrow {b}$ and $\overrightarrow {c}$, and the angle between $\overrightarrow {b}$ and $\overrightarrow {c}$.

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