
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
Line segment \( \overline{CD} \) is extended past \( D \) to point \( Q \) such that \( CQ:QD = 7:2 \). Determine the vectors \( t \) and \( u \) such that
\[ 
\overrightarrow{Q} = t \overrightarrow{C} + u \overrightarrow{D}.
\]

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