Are scalar multiples of a normal vector also normal vectors?

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    Calc iii
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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!
 

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Exactly right. Any multiple of <a,b,c> is also normal to the plane.
 
Thanks so much for the prompt reply.