For the complex numbers w₁ = 2 + 5i and W₂ = -1 + 2i, a) Represent w₁ and w₂ on the same Argand diagram. For each of the following involving w, and w₂ as described above, a pair of expression is given. Demonstrate algebraically what single complex number each expression evaluates to. Then, for each pair, add them to the Argand diagram as in parts a) above. Use a new diagram for each pair. For each pair comment on the commutative nature of complex numbers under the operation. b) W₁+W₂; W₂ + W₁ c) W₁ X W₂ W2 X W₁ W₂ d) W₁ [2] For an arbitrary complex number, z, represent the following on a fresh Argand diagram. Give a geometric interpretation. e) |z-w₂|
