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Problem (1) What is to follow may or may not be of use but is anyway true. Let z1-a + ib and z2c + id; a, b, c and d real. Consider the corresponding vectors which we will regard as 3-component vectors with the third component zero: w (a, b, 0) w2 (c, d, 0) Show that both the real and imaginary parts of 2122 can be expressed in terms of the usual vector (cross) and scalar (dot) products of wi and .

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