4. The diagram is a rectangular prism. Let u = AB, v = AD and w = AE. Express each vector as a linear combination of u, u and w. [1 mark each] a) EF = b) HB = E C Completion [1 mark each] Complete each statement. 5. The dot product of any two of the vectors i, j, k is 6. If two vectors are parallel then their dot product equals the product of their 7. An equilibrant vector is the opposite of the 8. The magnitude of vector [a, b, c] is 9. The magnitudes of vector [a, b, c] and vector [- a, - b, - c] are 10. If two vectors are orthogonal then their dot product equals Matching [1 mark each] MNPQ is a parallelogram and R is the intersection point of the diagonals MP and NQ. Let u = MQ and = MN. Match the following expressions to their equivalents in terms of u and V. A. - 2 B. u + V C. 2 2 D. - V E. F. - 2 - V G . H. 0 1. it - V J. 2V 11. MR + RQ 12. PQ + QN 13. MN + NP + QM