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A-Level MathematicsYear 2022Q3

6   3. With respect to a fixed origin O, the points A and B have coordinates (2, 2, –1) and (4, 2p, 1) respectively, where p is a constant. For each of the following, determine the possible values of p for which, (a) OB makes an angle of 45° with the positive x-axis (3) (b) OA → × OB → is parallel to 4 2 p (3) (c) the area of triangle OAB is 3 2 (3) ___________________________________________ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ Turn over 7   Question 3 continued _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ ___________________________________________

Paper Source:9fm0-3a-que-20220616.pdf

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Exam Specification Info

This question is part of the UK A-Level Mathematics syllabus. In the actual exam, structured questions typically require linking specific keywords to gain full marks. Applaa helps you drill these topics.

Syllabus levelAdvanced Level (A-Level)

SubjectMathematics

Official MarksVariable (2–6 marks)