
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 bases \(AB\) and \(CD\) of trapezoid \(ABCD\) are equal to 41 and 24 respectively, and its diagonals are perpendicular to each other. Find the dot product of vectors \(\overrightarrow{AD}\) and \(\overrightarrow{BC}\).

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