Find the equation of plane passing through the points A (3, 2, 1), B (4, 2, 22) and C (6, 5, 21) and hence find the value of for which A (3, 2, 1),B (4, 2, 22), C (6, 5, 21) and D (, 5, 5) are coplanar.
Equation of the plane passing through the points A(3,2,1), B(4,2,-2) and C(6,5,-1) is:
is the required plane. Now if A(3,2,1), B(4,2,-2), C(6,5,-1) and D(, 5, 5) are coplanar then F must satissfy (i) that is,