Problem 2 (2.5+1.5=4 Marks). Prove the following results: 1. Let (a,b), (c,d) be two vectors in R2. Then the area of the
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Problem 2 (2.5+1.5=4 Marks). Prove the following results: 1. Let (a,b), (c,d) be two vectors in R2. Then the area of the
Problem 2 (2.5+1.5=4 Marks). Prove the following results: 1. Let (a,b), (c,d) be two vectors in R2. Then the area of the region D := {(sa + tc, sb + td) | s, t e [0, 1]} is (ad – bel. 2. Let 0 : R2 + R2 be such that 0(21, X2) = (x2, 21). Then show that @*(dx1 1 dx2) = d.x2 1 dx1. =
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