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Parametric equation

  • #1

Homework Statement



Find parametric equations for the line in which the planes 3x − 6y − 2z = 15
and 2x + y − 2z = 5 intersect.


Homework Equations





The Attempt at a Solution



<2, 1, -2> - <3, -6, -2> = <-1, 7, 0>

x = 2 - t, y = 1 + 7t, z = -2

Did I do this correctly??
 

Answers and Replies

  • #2
Dick
Science Advisor
Homework Helper
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Uh, no. Put the solution back into your two line equations. Does it work? I don't think so. Where did you find this 'solution method'? I think you should maybe try and find one that does.
 
  • #3
<3, -6, -2> X <2, 1, -2> = <14, 2, 15>

Then set z to 0 to get x = 3, y = -1 ==> <3, -1, 0>

x = 3 + 14t
y = -1 + 2t
z = 15t
 
  • #4
Dick
Science Advisor
Homework Helper
26,258
618
Better. Did you check by substituting your result back into the plane equations?
 
  • #5
yes it worked, got 5 and 15
 
  • #6
Dick
Science Advisor
Homework Helper
26,258
618

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