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Homework Help: Help me describe this vector

  1. Jan 21, 2015 #1


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    1. The problem statement, all variables and given/known data
    t<1,1> where t is all real numbers.

    2. Relevant equations

    3. The attempt at a solution

    I start by multiplying t to each x and y component.
    The resulting vector (field??) is <t,t> where t is all real numbers.

    Does this mean that the 'image' is the entire xy plane of all real numbers?
  2. jcsd
  3. Jan 21, 2015 #2


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    Try plotting a few points for various ##t##.
  4. Jan 21, 2015 #3


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    Oh... brain cramp.
    t can be any real number, but it must be only one real number.
    So you get a slice through the xy plane.

    This is y=x which has a slope of 1.
  5. Jan 21, 2015 #4
    You could call t a "scalar" meaning it only affects the magnitude of the vector, not it's direction. So what direction is your vector pointing? What's the magnitude?
  6. Jan 21, 2015 #5


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    Yep. All vectors t<1,1> lie on the line y=x
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