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Determining equations for plane with one point and parallel to plane with an equation

  • Thread starter unknown101
  • Start date
1. Homework Statement
Determine vector and parametric equations for the plane containing the point A(2, 3, -1) and parallel to the plane with equation (x, y, z) = (2, 1, -3) + s(5, 2, -1) + t(3, -2, 4). Show your work.


2. Homework Equations
Vector and parametric
This a strange equation that I have never seen before because it has 2 parameters: s and t

3. The Attempt at a Solution
I got the parametric equation for the x, y,z equation
x=2+5s+3t
y=1+2s-2t
z=-3-t+4t

Am I supposed to find the direction vector? In one of my notes is says that the direction vector is perpendicular to the plane's normal vector but I don't know if it applies here?
 

tiny-tim

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Determine vector and parametric equations for the plane containing the point A(2, 3, -1) and parallel to the plane with equation (x, y, z) = (2, 1, -3) + s(5, 2, -1) + t(3, -2, 4). Show your work.
Hi unknown101! :smile:

I think what they mean by "vector and parametric equations" is that the vector and parametric equation for the original plane is (x, y, z) = (2, 1, -3) + s(5, 2, -1) + t(3, -2, 4) :wink:
 
Re: Determining equations for plane with one point and parallel to plane with an equa

Hi unknown101! :smile:

I think what they mean by "vector and parametric equations" is that the vector and parametric equation for the original plane is (x, y, z) = (2, 1, -3) + s(5, 2, -1) + t(3, -2, 4) :wink:
So would the equation for the new equation be (x,y,z)=(2,3,-1)+s(5, 2, -1) + t(3, -2, 4).
 

tiny-tim

Science Advisor
Homework Helper
25,790
246
Re: Determining equations for plane with one point and parallel to plane with an equa

Thanks a lot:)
 

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