
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
Given three points in space \( A(1,1,1) \), \( B(-1,0,4) \), and \( C(2,-2,3) \), the angle \( \theta \) between vectors \( \overrightarrow{AB} \) and \( \overrightarrow{CA} \) is \_\_\_\_\_\_.

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