
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  $ABCD$  and  $ABEF$  be two squares situated in two perpendicular planes and let  $O$  be the intersection of the lines  $AE$  and  $BF$ . If  $AB=4$  compute:

a) the distance from  $B$  to the line of intersection between the planes  $(DOC)$  and  $(DAF)$ ;

b) the distance between the lines  $AC$  and  $BF$ .

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