GCEFurther MathematicsVectors2023

Points P, Q and R have position vectors p = i + 2j, q = 4i + 6j and r = 7i + 10j respectively. Which of the following correctly describes the relationship between P, Q and R?

AP, Q and R form an equilateral triangle
BP, Q and R form a right-angled triangle
CP, Q and R are collinearCORRECT
DP, Q and R form an isosceles triangle
AI
Toaster Teacher
Why the answer is C, and why the others tempt you.
PQ = q - p = 3i + 4j and PR = r - p = 6i + 8j = 2(3i + 4j) = 2PQ. Since PR is a scalar multiple of PQ, the three points are collinear and lie on the same straight line.
Want this in Pidgin, Yoruba, Igbo or Hausa? Sign up free →

Practice more Further Mathematics questions

GCE Further Mathematics has thousands more questions like this — with Worked answers on every one.

Start practicing free →See all Further Mathematics questions