Equation of a plane passing through a Point

[Punkyc7]

Let P(0,-5,3) vector v=4j -k and vector w=i+2j+3k

Find an eqaution of the plane passing through P and parallel to both v and w

so i found the vector perpendicular to both v and w which is 14 -1 -4 but I am not sure to find a plane that parrallel to v and w

 

[Mark44]

Let P(0,-5,3) vector v=4j -k and vector w=i+2j+3k

Find an eqaution of the plane passing through P and parallel to both v and w

so i found the vector perpendicular to both v and w which is 14 -1 -4 but I am not sure to find a plane that parrallel to v and w

The vector you found, 14i - 1j - 4k (or <14, -1, -4>) is normal to (perpendicular to) the plane you're trying to find.

If you have a point on a plane and a normal to the plane, it's very easy to find the equation of the plane. Your textbook and/or notes from class should have an example of how to do this.