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1. The scalar triple product is given by a . (b x c). a For vectors a = i + 7j - 5k, b = 3j - 3k, and c = -4i + j - 2k determine la . (b x c)|. b) Explain the geometric interpretation of the result from part a). 2. Solve 25 = 16V3 - 162, z EC and sketch the resulting solutions on a single Argand diagram. 3. Consider the function f(z) = 25 + 2z4 - 623 - 2222 -15z, z E C. By exploiting the Factor Theorem, solve f(z) = 0 without graphing. 4. A car is being towed on a trailer as shown below. The car is affixed to the trailer with a metal chain. The trailer bed is inclined 38 with respect to the horizontal and the car has a mass of 1300 kg. Determine the magnitude of the tension in the metal chain to the nearest Newton.5. a) Sketch each of the following functions by hand and state their domain and range: 1) x) = I22: 3| 11) ms) = 23\"" + 1 iii) f(x) = $2 4 :1: 1 b) Solve f (at) S 3 for each of the functions in part a)