Question: Using transition matrices from one orthonormal basis to another

Find parametric equations for the right circular cylinder having radius 3, length 12, whose axis is the z-axis and whose bottom edge lies in the plane: z=0.



Do I just define B={u1, u2, u3} being a basis for R3 and use the gram-schmidt operator to find the parametric equations?

I know that would give me an orthonrmal basis, but how do i find parametirc equations?

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