
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 in triangle ABC, $$\overrightarrow {AB}=4 \overrightarrow {i}+3 \overrightarrow {j}$$, $$\overrightarrow {AC}=-3 \overrightarrow {i}+4 \overrightarrow {j}$$, where $$\overrightarrow {i}$$ and $$\overrightarrow {j}$$ are the unit vectors, then the area of triangle ABC is \_\_\_\_\_\_.

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