Question

There are an infinite number of vector and parametric equations for a given plane. Why is the scalar equation of a given plane unique?

Answer 1

Answer:

The answer is below

Step-by-step explanation:

When you refer to a normal vector you mean the form a*x + b*y + c*z = d, if that's the case then it's not unique in the nose because it gives you its normal vector. Taking into account that uniqueness only supports multiplicative constants, which means that you can multiply the equation with whatever you want, that is, it remains the same