A-LevelMathematicsVectors9709/12 · May/June 2010 · Q56 Marks
Relative to an origin O, the position vectors of the points A and B are given by OA = (-2/3) and OB = (4/p) (i) Find the value of p for which OA is perpendicular to OB. (ii) Find the values of p for which the magnitude of AB is 7.
- (i)Find the value of p for which OA is perpendicular to OB.[2]
- (ii)Find the values of p for which the magnitude of AB is 7.[4]
Mark scheme
Marking points from the official mark scheme (May/June 2010). The mark or mark type is shown in brackets.
- [M1] Must be scalar.
- [A1] co.
- [M1] Must be b – a or a – b
- [M1] Must be sum of 3 squares.
- [A1] A1 √ lost.
- [A1] co.
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