Plase write for me a code for the following problem:
Let (d): (x-1)/2 = (y+2)/1 = z/1 be a line and
(P): x + 2y -z - 3 = 0 be a plane.
Write the equation of the line (Delta) lies in the plane (P), perpendicular to the line (d) and the distance between (d) and (Delta) equal to sqrt(2).
Thank you very much.
