10. Let z₁ and z₂ denote complex numbers. Show that (Z₁, Z₂) = Z₁ Z₂ defines an inner product, which yields the usual metric on the complex plane. Under what condition do we have orthogonality?

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Q: Let S be the surface with equation 4y² + 4z² - x² - 16 = 0. 1. Find an equation of the trace of S on…

A: “As per the policy we are allowed to answer only 3 subparts at a time, I am providing the same.…