
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 $\overrightarrow {a}$=(a<sub>1</sub>,a<sub>2</sub>,a<sub>3</sub>), $\overrightarrow {b}$=(b<sub>1</sub>,b<sub>2</sub>,b<sub>3</sub>), and |$\overrightarrow {a}$|=3, |$\overrightarrow {b}$|=4, $\overrightarrow {a}$$\cdot \overrightarrow {b}$=12, find $\frac {a_{1}+a_{2}+a_{3}}{b_{1}+b_{2}+b_{3}}$=____

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