Final answer:
To find the correct equation of the plane, check if the given points satisfy any of the provided equations. Substitute the coordinates into each equation and see which one holds true for all points.
Step-by-step explanation:
The question asks for the equation of a plane given several options. To determine which equation represents the plane, we need to check if specific points provided satisfy the equations. The information provided includes points: (a) 2, 2, 2; (b) 1, 3, 0; (c) 4, 2, 3; and so on. By substituting these point coordinates into each plane equation, we determine which equation is satisfied by these points. For example, substituting the coordinates of point (a) into option 'a' we get: 3(2) + 3(2) + 2(2) = 6 + 6 + 4 = 16, which does not equal 6, so option 'a' is incorrect. We must test each point against each equation to find the correct one. Whichever equation is true for all points is the equation of the plane.
a