1. Limited time only! Sign up for a free 30min personal tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Homework Help: 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

    User Avatar
    Homework Helper

    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

    User Avatar
    Homework Helper

    so pick another one...
     
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook