Classical Dynamics of Particles and Systems · Problem 1-39
Newtonian Mechanics—Single Particle — Marion & Thornton
Physics — Mechanics · vectors-geometry
Problem
A plane passes through the three points (x,y,z)=(1,0,0), (0,2,0), (0,0,3).
((a)) Find a unit vector perpendicular to the plane.
((b)) Find the distance from the point (1,1,1) to the closest point of the plane and the coordinates of the closest point.