
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
Two forces, \( P_{1} = 80 \) dynes and \( P_{2} = 130 \) dynes, act on a body at two points that are \( 12 \) meters, \( 3 \) centimeters, and \( 5 \) millimeters apart. The direction of force \( P_{1} \) forms an angle of \( 125^{\circ} \) with the line connecting the points of application, and the direction of force \( P_{2} \) forms an angle of \( 135^{\circ} 11' 38'' \) with the same line. Find the magnitude, direction, and point of application of the resultant force.

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