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Homework Help: Scalar eqns

  1. Apr 28, 2012 #1
    -3i-j+5k = t (root34/102 (11i-13j+4k))-s(-j-k)+r(2i+2j+k)

    how do i write this eqn as 3 scalar equations and a system of three linear eqns for the three parameters r,s, and t.

    PLEASE HELP...
     
  2. jcsd
  3. Apr 29, 2012 #2

    tiny-tim

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    hi ronho1234! :smile:
    all the coefficients of i have to balance, also j and k …

    those are your three equations :wink:
     
  4. Apr 29, 2012 #3
    does that mean i get three separate equations each with the three variables... but how do i balance them like you said?...
     
  5. Apr 29, 2012 #4

    tiny-tim

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    yes! :smile:

    (and they're already balanced … write it out and see :wink:)
     
  6. Apr 30, 2012 #5
    Hey tiny-tim, what do you mean by it is already balanced. How do i form 3 equations using that relationship? Do I just make i, j, k the subject?
     
  7. May 1, 2012 #6

    tiny-tim

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    hey kihakuu! :smile:

    this is a vector equation, so all three component equations have to be true :wink:

    for example, the "i" components equation for -3i-j+5k = t (root34/102 (11i-13j+4k))-s(-j-k)+r(2i+2j+k)

    would be -3i = t (root34/102 (11i)+r(2i) :wink:
     
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