(b) The positions of points and are given by the vectors P Q = a b = a + 2b – (i) Draw and label the positions of points and on the diagram. P Q (2) (ii) Hence, or otherwise, deduce an expression for . (1) (Total 6 marks) 4. In the diagram and are parallelograms. OACD, OADB ODEB (a) Express, in terms of a and b, the following vectors. Give your answers in their simplest form. (i) (1) (ii) (1) (iii) (1) (b) The point is such that is a parallelogram. F OCFE Write the vector in terms of a and b. (2) (c) What geometrical relationship is there between the points and Justify your answer. O, D F? (2) (Total 7 marks) 5. In triangle lies on such that = ABC, M BC BM BC. = s and = t Find in terms of s and t. Give your answer in its simplest form. (Total 3 marks)
(b) The positions of points P and Q are given by the vectors = a – b = a + 2b (i) Draw and label the positions of points P and Q on the diagram. (2) (ii) Hence, or otherwise, deduce an expression for . (1) (Total 6 marks) 4. In the diagram OACD, OADB and ODEB are parallelograms. (a) Express, in terms of a and b, the following vectors. Give your answers in their simplest form. (i) (1) (ii) (1) (iii) (1) (b) The point F is such that OCFE is a parallelogram. Write the vector in terms of a and b. (2) (c) What geometrical relationship is there between the points O, D and F? Justify your answer. (2) (Total 7 marks) 5. In triangle ABC, M lies on BC such that BM = BC. = s and = t Find in terms of s and t. Give your answer in its simplest form. (Total 3 marks)
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