
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
The vectors $\overrightarrow{a} = (6, -8)$ and $\overrightarrow{b}$ are perpendicular to each other. Given $|\overrightarrow{b}| = 5$, and the angle between $\overrightarrow{b}$ and the vector $(1, 0)$ is obtuse, determine the components of $\overrightarrow{b}$.

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