Given the points P(1, 2, 3), Q(1,−1, 2) and R(2, 1, 0):
Determine the parametric vector equation of the plane through the points P, Q and R. Verify that any x satisfying this equation has coordinates which also satisfy the Cartesian equation.
Given the points P(1, 2, 3), Q(1,−1, 2) and R(2, 1, 0):
Determine the parametric vector equation of the plane through the points P, Q and R. Verify that any x satisfying this equation has coordinates which also satisfy the Cartesian equation.