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Writing vector equations

  1. Feb 4, 2015 #1
    1. The problem statement, all variables and given/known data
    My solutions manual states that (1 - t)(2i - j + 4k) + t(4i + 6j + k) = (2i - j + 4k) + t(2i + 7j -3k), 0 < t < 1.

    2. Relevant equations
    r(t) = (1 - t)r0 + tr1

    3. The attempt at a solution
    I don't see how they are equivalent. They can't be divided because one has i, j and k and the other has t.
     
  2. jcsd
  3. Feb 4, 2015 #2
    Try simplifying the left side and see what you get
     
  4. Feb 4, 2015 #3
    What they wrote is just the summation of the two vectors, component-by-component. Which part don't you understand?

    Chet
     
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