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Homework Help: Calc III Quick Question

  1. Aug 12, 2009 #1
    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!
  2. jcsd
  3. Aug 12, 2009 #2


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    Science Advisor
    Homework Helper

    Exactly right. Any multiple of <a,b,c> is also normal to the plane.
  4. Aug 12, 2009 #3
    Thanks so much for the prompt reply.
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