QUESTION 3 [19] 3.1. Given that a = 2i + 3j - 5k, b = i - 4j + 6k and c = -3i - 2j + 4k, evaluate 2b + 3c (3) 3.2. c = 24i + xj and d = 16i + 20j. Find x if c is parallel to d (3) 3.3. The magnitude and direction of a force F are given by 375.4 and 205.32 respectively. Resolve the force F into its x and y components. (2) 3.4. If the position vectors of the points P and Q are i + 3j - 7k and 5i - 2j + 4k respectively, find PQ and determine its length. (2) 3.5. Determine the scalar products of (10i - 15j + k)(-21i - k) (2) 3.6. Calculate the work done by the force F = 6i -3j + 2k in moving an object from point (1; 4; -2) to the point (3; 2; 5) (3) 3.7. Determine the moment vector, M, about the origin, O, of a force F = 2i - j + 2k passing through the point with position vector r = i + 3/ + k (4) **THE END**