Form 3 Mathematics
The points P. Q and R lie on a straight line. The position vectors of P and R are 2i + 2j + 13k and 5i – 3j + 4k respectively. Q divides PR internally in the ratio 2:1
Find the (a) Position vector of Q.
Answer
Free 1999 K.C.S.E Mathematics Topical Question & Answers Paper 1
In triangle OAB, OA = a OB = b and P lies on AB such that AP: BP = 3.5
\[AQ = \frac{-5a}{8} + \frac{9b}{40}\]
Find the ratio OQ: QP
ANSWER
The figure below shows a grid of equally spaced parallel lines AB = a and BC = b
 By writing PX as kPR and BX as hBA and using the triangle BPX determine the ratio PR: RX ANSWER
 In the figure below OA = a, OB = b, AB = BC and OB: BD = 3:1 (a) Determine
KNEC MARKING SCHEME
In the figure below, OA = 3i + 3J, OB = 8i –j, C is a point on AB such that AC: CB = 3:2, and D is a point such that OB // CD and 2 OB = CD. Determine the vector DA in terms of i and j.4 marks MARKING SCHEME
The figure below is a right pyramid with a rectangular base ABCD and VO as the height. The vectors AD= a, AB = b and DV = v a) Express |
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AuthorMaurice A Nyamoti is a Mathematics/ Computer Teacher and has passion to assist students improve grades RSS_FEED
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