Fundamental vector projection question

[jrm2002]

Homework Statement

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?

Please help

Homework Equations

The Attempt at a Solution

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

 

[HallsofIvy]

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.