Find a Normal Vector to Plane ax+by=cz=d | Calc III Homework

[economics]

Homework Statement

Take any plane ax+by=cz=d (any numbers should work if subsituted)
Find a normal vector to the plane Read my question below

Homework Equations

The Attempt at a Solution

I know the normal vector would be <a,b,c>. But, could a correct answer also be a scalar multiple to <a,b,c> such as <-a,-b,-c> or <-2a,-2b,-2c>? I was thinking about this but could not come up with an answer myself!

Thanks for any help--I am working on learning Calc III myself-such an AWESOME subject!

 

[Dick]

Exactly right. Any multiple of <a,b,c> is also normal to the plane.

 

[economics]

Thanks so much for the prompt reply.