 Now the problem has become one of finding the nearest point on this plane to the origin, and its distance from the origin.The point on the plane in terms of the original coordinates can be found from this point using the above relationships between formula_13 and formula_14, between formula_15 and formula_16, and between formula_17 and formula_18; the distance in terms of the original coordinates is the same as the distance in terms of the revised coordinates.The formula for the closest point to the origin may be expressed more succinctly using notation from linear algebra.