Problem 3 Find the area of the triangle determined by the traces of the plane x 3 + y 2 + z 4 = 1 on the xy, yz, and zx planes.

Problem 4 Find the distance between point P = (2, 0, 1) and plane 6x + y + z = 11.

Problem 5 Find the distance between sphere x 2 + y 2 + z 2 = 1 and plane x + y + z = 2.

Problem 3 Find the area of the triangle determined by the traces of the plane g + g + f = 1 on the xy, ya, and 2:: planes. Problem 4 Find the distance between point P = (2, 0,1) and plane 6.1: + y + z = 11. Problem 5 Find the distance between sphere 1:2 + y\" + z"D = 1 and plane I + y + z = 2