page 07 MARKS 11. The diagram shows the curve with equation log y x = 3 . y x 1 O (3,1) log y x = 3 (a) On the diagram in your answer booklet, sketch the curve with equation log y x = − 3 1 . (b) Determine the exact value of the x-coordinate of the point of intersection of the two curves. 12. Vectors a and b are such that = − + a i j k 4 2 2 and p = − + + b i j k 2 . (a) Express 2a + b in component form. (b) Hence find the values of p for which + = a b 2 7. [Turn over for next question 2 3 1 3