Math Vectors S4 Caltec S.4

VECTORS Given the vectors a = and b = , find In the diagram below, OABC is a parallelogram where and . Point N is on such that : Express the following vectors in terms of a and b. (01mark) (02marks) Line and meet at point X such taht and By expressing in two different ways, find the values of h and k. (08marks) Determine the ratio in which X divides AC (01mark) In the figure below, R and B are midpoints of AT and OT respectively. Line AB and OR meet at X. given that OA = a and OB = b. Express the following vectors in terms of a and b (i)AT (ii)AB (iii)OR If OX = kOR and AX = tAB express; OX in terms of a, b and k OX in terms of a, b and t Hence determine the values of k and t. State the ratio of OX : XR T divides line in the ratio . If P is and. Determine; column vector column vector