
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 $\overrightarrow{OA}=(4,3)$ and $\overrightarrow{OB}=(2,-1)$, where $O$ is the origin and $P$ is a point on line $AB$.
(I) If point $P$ is the midpoint of segment $AB$, find the cosine value of the angle $θ$ between vector $\overrightarrow{OA}$ and vector $\overrightarrow{OP}$.
(II) If point $P$ is on the extension of segment $AB$ and $| \overrightarrow{AP}|= \frac {3}{2}| \overrightarrow{PB}|$, find the coordinates of point $P$.

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