1. The problem statement, all variables and given/known data Take any plane ax+by=cz=d (any numbers should work if subsituted) Find a normal vector to the plane Read my question below 2. Relevant equations 3. 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!