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Homework Help: What is the discriminant of the following quadratic equation

  1. Jan 20, 2017 #1
    • quadratic equation ||v||^2 - c(2v·w)+c^2||w||^2=0, where c belongs to any real number, v and w are both vectors
  2. jcsd
  3. Jan 20, 2017 #2


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    Hello Yichen, :welcome:

    Please post in the homework forum. There is a most useful template there for questions like this.
    If this is an equation, what are the knowns and what is the unknown ?
    I read your equation as equivalent to $$\left ({\bf \vec v} - c {\bf \vec w } \right ) \cdot \left ({\bf \vec v} - c {\bf \vec w } \right ) = 0 $$ which certainly has a solution ##\ {\bf \vec v} = c {\bf \vec w } ##
  4. Jan 20, 2017 #2


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    Are you attempting to prove the Cauchy-Schwarz inequality?
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