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Vectors and matrices — Question 15

QCAA 2022, Paper 2 · 5 marks

Q15 · 2022 · Technology-activeSimple familiar5 marks

QUESTION 15 (5 marks)

Consider points A (3,−1,3)(3,-1,3) and B (1,1,6)(1,1,6).
a)
Determine AB→\overrightarrow{AB}.
[1 mark]
b)
Determine the Cartesian equation of the line that passes through points A and B.
[2 marks]
c)
Point A lies on the plane, ϕ\phi, and AB→\overrightarrow{AB} is perpendicular to this plane. Determine the Cartesian equation of the plane.
[2 marks]
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