KCSE MATHEMATICS QUESTIONS AND SOLUTIONS ~ Topically Analyzed
ALT B  vectors ii   FORM 3 LEVEL  SECTION II  PAPER 2  KCSE 2010  QUESTION 23The figure below shows a triangle OAC in which B is the midpoint of OC and D is the midpoint of AC.
Given that OA = 2i + 5j and OB = 4i + j,
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QUESTION 8  KCSE 2023  VECTORS II  PAPER 2  FORM 3 LEVELGiven that p = 5i  j + 3k, q = 8i + j and r = 2p  q, determine the magnitude of r. (3 marks)
QUESTION 14  KCSE 2021  VECTORS II  PAPER 2  FORM 3 LEVELThe position vectors of points P, Q and R are OP = 6i  2j + 3k, OQ = 12i  5j + 6k and OR = 8i  3j + 4k. Show that P, Q and R are collinear points. (3 marks)
QUESTION 14  KCSE 2022  VECTORS II  PAPER 2  FORM 3 LEVELPoint P(8, 4, 1) divides line AB internally in the ratio 4: 1. The position vector of point A with respect to the origin O is [4 8 3]
Determine the coordinates of point B. (3 marks) THE POSITION VECTORS OF POINTS P, Q AND R ARE [1 1 3], [3 3 1] AND [6 9 2] RESPECTIVELY. SHOW THAT POINTS P, Q AND R ARE COLLINEARKCSE 2020 MATHEMATICS ALT A PAPER 2 QUESTION 15VECTORS (2)  FORM 3 LEVEL  PAPER 2 QUESTIONS  SECTION BThe diagram below shows a triangle OPQ in which M and N are points on OQ and PQ respectively such that OM = ⅔ OQ and PN = ¼ PQ. Lines PM and ON meets at X.(a) Given that OP = P and OQ = q express in term of P and q the vectors.

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