O-LevelMathematicsVectors and transformations4024/22 · Oct/Nov 2020 · Q89 Marks
(a) H is the point (-7, 4) and HJ = (10, -6)
- (a)(i)Calculate the magnitude of HJ.[2]
- (a)(ii)Given that HK = 3HJ, find the coordinates of point K.[2]
- (b)(i)Express, as simply as possible, in terms of p and/or q (i) OC,[1]
- (b)(ii)AX,[2]
- (b)(iii)EX.[2]
This question uses a diagram from the original paper, which isn't shown here. Open the full paper from the past papers archive to see it.
Mark scheme
Marking points from the official mark scheme (Oct/Nov 2020). The mark or mark type is shown in brackets.
- [2] M1 for sqrt(10² + (-6)²) oe; Final answer 11.7 or 11.66... .
- [2] B1 for one coordinate correct; or for (30, -18) seen (vector HK); After 0 scored, SC1 for (-14, 23); Final answer (23, -14).
- [1] 4p + q.
- [2] B1 for BX = 3/5 q or XB = -3/5 q; or M1 for a correct route along the lines of the diagram; Final answer 3p + 2/5 q oe.
- [2] B1 for CX = -2/5 q or XC = 2/5 q; or M1 for a correct route along the lines of the diagram; Final answer 4p - 2/5 q oe.
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