
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
Let \(\mathbf{r}\) be the projection of \(\mathbf{u}\) onto \(\mathbf{s},\) and let \(\mathbf{t}\) be the projection of \(\mathbf{r}\) onto \(\mathbf{u}.\) If \(\frac{\|\mathbf{r}\|}{\|\mathbf{u}\|} = \frac{3}{4},\) find \(\frac{\|\mathbf{t}\|}{\|\mathbf{u}\|}.\)

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