A-Level MathematicsYear 2021Q7
24 7. The plane Π has equation 3 1 2 3 2 0 2 1 1 λ μ − = + + r where λ and μ are scalar parameters. (a) Show that vector 2i + 3j – 4k is perpendicular to Π. (2) (b) Hence find a Cartesian equation of Π. (2) The line l has equation r = − + − 4 5 2 1 6 3 t where t is a scalar parameter. The point A lies on l. Given that the shortest distance between A and Π is 2 29 (c) determine the possible coordinates of A. (4) _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________
Paper Source:9FM0_01_que_20211005.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)