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Linear Algebra Questions

  1. Jun 17, 2005 #1
    Let [itex]\ell[/itex] be the line given by [itex]\frac{x-1}{2}=\frac{y+2}{-3}=\frac{z-3}{4}[/itex]. Write down a system of two equations in the three unknowns [itex]a[/itex], [itex]b[/itex], [itex]c[/itex] whose solutions give all planes [itex]ax + by + cz = 1[/itex] in which [itex]\ell[/itex] lies, and solve the system. I can certainly write that [itex]a -2b + 3c = 1[/itex]. I can't figure out how to obtain the second equation.

    Thanks

    James.
     
  2. jcsd
  3. Jun 17, 2005 #2

    StatusX

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    Just pick two points on the line and plug in for (x,y,z).
     
  4. Jun 17, 2005 #3
    I picked (1,-2,3) and I only have one equation [itex]a -2b + 3c = 1[/itex].
     
  5. Jun 18, 2005 #4

    StatusX

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    so pick another one...
     
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