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What points is the tangent line of curve paralell to a vector?

  1. Mar 2, 2010 #1
    1. The problem statement, all variables and given/known data
    4x^2 - xy + y^2 = 4
    At what points is the tangent line to the above curve vector [1 1]T? (T means I transposed the vector)

    2. Relevant equations

    3. The attempt at a solution
    I have the gradient vector, but I'm conceptually lost about what to do after that.
  2. jcsd
  3. Mar 2, 2010 #2


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    Homework Helper

    How can the tangent line be a vector? Do you mean that the vector (1,1) is parallel to the tangent line? If so, just use implicit differentiation, substitute the appropriate value for dy/dx, and solve.
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