Complex Numbers: Q1). If a = 8 - 5j; b= 1.2 + 3.2j; a). Express the numbers in polar form b). Using the numbers in polar form, calculate axb and b/ a, expressing the answers in polar form . Q2). An electrical circuit has R = 2200 with a capacitor C = 20 F and inductor L = 30mH with reactances Xc = - j/(WC) and XL = jwL Q. For a A.C. source 30.0 Cos(wt), frequency f = 250 Hz calculate: a). The reactances Xc and XL b). Overall Impedance Z c). For the current lo Cos(wt +o ), the values of the amplitude lo and the phase angle o . d). The values of the real, reactive and apparent power . What happens to the phase angle o when the frequency is increased to 2500 Hz ? Explain your answer . Vectors - physical applications of dot and cross product Q3). Calculate the moment M of the force F = 2i + 6.2j about the point a ( 4, 2, 5) if the force acts through the point b = (6, -1, 3)