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Need help finding equation of a plane

  • Thread starter sk_88
  • Start date
1. Homework Statement


So my question is:

Find the equation of the plane which contains the point (0,1,3) and the line:

(x,y,z) = (-1,0,-2) + t(1,-3,-1)

It has to be in the form Ax+By+Cx=D. D has to be positive

2. Homework Equations

see above

3. The Attempt at a Solution

the only thing I know right now is that the plane has the direction vector of (1,-3,-1) because this plane is parallel to the line. And that could possibly be vital to finding the solution. But I have absolutely no idea where to go from there. So I hope you guys can help me out with this, thanks!
1. Homework Statement

2. Homework Equations

3. The Attempt at a Solution

Answers and Replies

You know one direction vector, that is right.
This alone however is not enough to specify the plane you're lookng for.

What do you need to uniquely specify a plane?

For a line for example, two points would do.
See Pere Callahan's Post.
1) Don't go straight for Ax+By+Cz+D = 0
2) hint: you need to know what's the vector equation of a plane

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