Find equations of the normal and osculating planes of the curve of intersection of the parabolic cylinders x = y² and z = x² at the point (1, 1, 1).
a) The normal plane equation: z - 1 = 2(y - 1) + (x - 1)
The osculating plane equation: z - 1 = (y - 1)² + (x - 1)
b) The normal plane equation: z - 1 = 2(y - 1) - (x - 1)
The osculating plane equation: z - 1 = (y - 1)² - (x - 1)
c) The normal plane equation: z - 1 = 2(y - 1) + (x - 1)²