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4. The diagram is a rectangular prism. Let u = AB, 6 = AD and w = AE. Express each vector as a linear combination
4. The diagram is a rectangular prism. Let u = AB, 6 = AD and w = AE. Express each vector as a linear combination of u, u and w. [1 mark each] a) EF = b) HB = D 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 V = MN. Match the following expressions to their equivalents in terms of & and v. A. B. 2 + V C. 2 2 D. - V E. V F. - 2 - V G. H. 0 11. MR + RQ 12 . PQ + QN 13. MN + NP + QM
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