(a) Let P be a point not on the plane that passes through the
points Q, R, and S. Show that the distance d from P to the
plane is

d = |a • (b x c)|/|a x b|

where

(b) Use the formula in part (a) to find the distance from the point P(2, 1, 4) to the plane through the points Q(1, 0, 0), R(0, 2, 0), and S(0, 0, 3).

Transcribed Image Text:

QR, b = QŠ, and e = QP.