The unit circle for an inner product on R2 is defined as the set of all vectors of unit length: ||v|| = 1. Graph the unit circles for
(a) the Euclidean inner product.
(b) the weighted inner product (3.8).
(c) the non-standard inner product (3.9).
(d) Prove that cases (b). (c) are. in fact, both ellipses.