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Find the equation of the line by using vectors

  1. Mar 7, 2016 #1
    1. The problem statement, all variables and given/known data
    I have to find the equation of the line by using any vector a and b in a way that the line fits the triangle generated by vector addition. If you don't understand my statement, look at my attached file. You will understand what I mean by triangle. Is my solution right?

    2. Relevant equations


    3. The attempt at a solution
     

    Attached Files:

  2. jcsd
  3. Mar 7, 2016 #2
    Essentially, it is correct.

    However - There is no requirement for such constraint for t. Remember, you are writing an equation for a line; an infinite number of points are possible.
    Further, you could just write the second term on the right, as t(a+b), and t can take an infinite number of values, corresponding to an infinite number of points on the line.
     
  4. Mar 7, 2016 #3
    thanks I wasn't actually clear on the fact that the boundaries are necessary to fit the idea of triangle.
     
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