Date | November Example questions | Marks available | 2 | Reference code | EXN.1.AHL.TZ0.8 |
Level | Additional Higher Level | Paper | Paper 1 (without calculator) | Time zone | Time zone 0 |
Command term | Find | Question number | 8 | Adapted from | N/A |
Question
The lines and have the following vector equations where and .
The plane has Cartesian equation where .
Given that and have no points in common, find
Show that and are never perpendicular to each other.
the value of .
the condition on the value of .
Markscheme
* This sample question was produced by experienced DP mathematics senior examiners to aid teachers in preparing for external assessment in the new MAA course. There may be minor differences in formatting compared to formal exam papers.
attempts to calculate (M1)
A1
since for R1
so and are never perpendicular to each other AG
[3 marks]
(since is parallel to , is perpendicular to the normal of and so)
R1
A1
[2 marks]
since there are no points in common, does not lie in
EITHER
substitutes into (M1)
OR
(M1)
THEN
A1
[2 marks]