Question: 3. Figure 3 shows two surfaces, S x - y = 3 and S x - 6y - 2z - 2x + 24y -

3. Figure 3 shows two surfaces, S x - y = 3 and S x - 6y - 2z - 2x + 24y - 4z = 9. A space curve C tracing out the line of intersection of the two surfaces is depicted by the blue curve. 10 10 -10 Z 0 -10 -10 x 0 10 Figure 3 (i) Rewrite S2 in standard form then describe the surface, giving its name, geometric centre, and orientation. (ii) Determine parametric definitions for x, y, and z to describe the line of intersection C.

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