O-LevelMathematicsVectors and transformations4024/11 · May/June 2018 · Q213 Marks
p = [[3], [4]] q = [[-4], [3]]
- (a)Write 3p - q as a column vector.[1]
- (b)R is the point (11, -2) and O is the point (0, 0). The vector OR can be written in the form p + nq, where n is an integer. Find the value of n.[2]
Mark scheme
Marking points from the official mark scheme (May/June 2018). The mark or mark type is shown in brackets.
- [1] [[13], [9]]
- [2] n = -2
- M1 for [[3], [4]] + n[[-4], [3]] = [[11], [-2]] or 3 + (-4n) = 11 or 4 + 3n = -2
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