An electrical power transmission line runs between points A, B, and C, as shown, and a n...

An electrical power transmission line runs between points A, B, and C, as shown, and a new power transmission line between points B and D is to be constructed. Using the coordinates of points A, C, and D given below, determine the distance from point A to point B where the new power line should connect to the existing power line such that the length of the new power line is as small as possible. Also determine the length of the new power line. Assume that power lines ABC and BD are straight.

The coordinates of points A, C, and D are A(3000, 600, 300) m, C(600, 2200, 500) m, and D(1000, 300, 800) m.