O-LevelAdditional MathematicsVectors in two dimensions4037/12 · Oct/Nov 2018 · Q76 Marks
The vector v has a magnitude of 39 units and is in the same direction as (-12 / 5). Write v in the form (a / b) where a and b are constants.
- (a)The vector v has a magnitude of 39 units and is in the same direction as (-12 / 5). Write v in the form (a / b) where a and b are constants.[2]
- (b)Vectors p and q are such that p = ((r+s) / (r+6)) and q = ((5r+1) / (2s-1)), where r and s are constants. Given that 2p+3q = (0 / 0), find the value of r and of s.[4]
Mark scheme
Marking points from the official mark scheme (Oct/Nov 2018). The mark or mark type is shown in brackets.
- [B1] For magnitude, may be implied by a correct v
- [B1] Must be a vector
- [B1] For value of t, may be implied by a correct v
- [B1]
- [M1] For equating like vectors at least once
- [M1] Dep For solution of resulting equations to obtain 2 solutions
- [A1]
- [A1] oe
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