
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
In the Cartesian coordinate system, the equation of the line determined by points A(a,0) and B(0,b) (where $ab \neq 0$) can be written as $\frac{x}{a} + \frac{y}{b} = 1$. By analogy, in the three-dimensional Cartesian coordinate system, the equation of the plane determined by points A(a,0,0), B(0,b,0), and C(0,0,c) (where $abc \neq 0$) can be written as _________.

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