Finding a point on a vector

[Guest]

Hi There,
i want to be able to find a point on a vector 1 unit away from a specific coordinate. If the coordinate is (1,2,3) and the vector is (0.5, 0.25, 0.. Then if you traveled 1 unit in the direction of the vector, what would the coordinate be? and could someone show me how to work it out?

thanks,
Sam

[Guest]

A possible solution....?

P = (1,2,3) Q = (1,2,3) + (0.5,0.25,0. = (1.5,2.25,3.

Length of vector PQ = Sqrt(0.5^2 + 0.25^2 + 0.8^2) = sqrt(0.25 + 0.0625 + 0.64) = 0.976

Unit vector in same direction as PQ = (1/0.976)(0.5, 0.25, 0. = (0.512, 0.256, 0.820)

coordinates of point Q1 = (1,2,3) + (0.512, 0.256, 0.820) = (1.512, 2.256, 3.820)