Find infinately many equations for the line passing through (a, b, c) in the direction of vector (x, y, z).?

a line passing through (a, b, c) in the direction of vector (x, y,z) fix x,y,z.





When you fix vector (x, y, z), you can think of wind blowing in a fix direction at constant speed (same magnitute).


Now you have a line in the direction of the wind (or a piece of the wind) pass thru a point in the air called p(a,b,c).....there is only 1 line in the 3d space that hit p.





Perhaps I mis-read the question.