Fundamental vector projection question

1. Sep 17, 2007

jrm2002

1. The problem statement, all variables and given/known data

1.I have a vector defined by (v1,v2,v3).
2. I want to project this vector on a plane such that a point on that plane is defined by (p1,p2,p3).Also, the normal to the plane is given by (n1,n2,n3)
3.Can anyone help me to the projection of the vector on this plane?

2. Relevant equations

3. The attempt at a solution

Tried using cross-product--but solution not validating.

2. Sep 17, 2007

HallsofIvy

Staff Emeritus
The first thing you can do is take the projection of the vector (v1,v2,v3) on the normal vector (n1,n2,n3). Use the standard projection formula for that. Subtracting projection from (v1, v2, v3) will give you the component of (v1, v2, v3) orthogonal to (n1, n2, n3). In other words, the projection onto the plane.