intersection between a vector and a plane

Hi forum!

My name is Eduardo and Iīm from Portugal. Currently Iīm doing a project in which I need to calculate the intersection point of a vector with a plane.

The equation of the plane is Z=0, and the vector is a column with 3 elements (something like

R=[ 1

2

3] )

I googled a little bit and I found this site:

Ray-Plane Intersection

This seems to be what Iīm looking for. However, my doubt arises at the first the step needed to parametrize the vector!

The site says:

"A ray is defined by: **R**0 = [X0, Y0, Z0]

**R**d = [Xd, Yd, Zd]"

I searched the net and I understood that R0 is a **point at the origin**, and Rd is a point **on** the vector, but how can I atribute values to X0 , Y0, Z0, Xd, Yd, Zd ? How can I invent them??????(Shake)

Unfortunately Iīm not keen on maths and Iīm facing this doubt despite my effort. Iīm sure that you can help me (Wink). Do you?

Best regards (Hi)

and thanks in advance for your time!