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a) A triathlete heads off on their morning swim. They head due south at 2 m/s. The ocean current is 3 m/s in the westerly direction, and there is wind of 1 m/s from the direction of N30°W. Determine the resultant speed and direction of the triathlete. Give your final answer correct to two decimal places.
b) A one-ton truck traveling north at 50 km/h collides with a 750 kg car traveling northwest at 45 km/h. After the collision, both vehicles move off together. Determine the speed (to the nearest km/h) and direction (to the nearest degree) of the combined vehicles after the collision.
c) A quadrilateral has four vertices: A(4, -2, 0), B(6, -4, 1), C(2, 8, 6), and D(-1, -2, 10). Determine which, if any, interior angles are right angles.