The position vectors of A and B arerespectively. Find the coordinates of M which divides AB in the ration 1: 2 (3mks)Worked Answer:Form 3 MathematicsForm 3 Mathematics
In the diagram below, the coordinates of points A and B are (1,6) and (15, 6) respectively.
Point N is on OB and that 30N = 2OB. Line OA is produced to L such that OL = 3OA.
a)Find vector LN b) Given that a point M is on LN such that LM: MN = 3: 4 find the coordinate of M c) If line OM is produced to T such a that OM: MT= 6:1 i)Find the position vector of T ii) Show that points L, T and B are collinear Form 3 MathematicsForm 2 Mathematics
Vectors r and s are such that r = 7 i + 2 j  k and s =  i + j  k.
Find  r + s . Form 2 Mathematics
The position vectors of points F, G, and H are f, g, and h respectively. Point H divides FG in the ratio 4:1. Express h in terms of f and g
Form 2 Mathematics
Given that P = 2i 3j + k, Q = 3i – 4j 3k and R = 3P + 2 Q, find the magnitude of R to 2 significant figures.
Form 2 Mathematics
Given that OA = 2i + 3j and OB = 3i  2j
Find the magnitude of AB to one decimal place. Form 2 Mathematics
Vector OP= 6i  j and OQ = 2i  5j. A point N divides PQ internally in the ratio 3:1.
Find PN in terms of i and j. Form 2 Mathematics
The vertices of a triangle are A(1,2), B(3,5) and C(4,1). The coordinates of C' the image of C under a translation vector T, are (62).
(a) Determine the translation vector T. (b) Find the coordinates of A' and B' under translation vector T. Form 2 MathematicsForm 2 Mathematics
Vector q has a magnitude of 7 and is parallel to vector p. Given that
p= 3 i –j + 1 ½ k, express vector q in terms of I, j, and k. Form 2 Mathematics  Topical Questions and Answers
The figure below shows triangle OAB in which M divides OA in the ratio 2:3 and N divides OB in the ratio 4:1 AN and BM intersect at X
Related Questions on Vectors IFree 1999 K.C.S.E Mathematics Topical Question & Answers Paper 1
A point (5, 4) is mapped onto ( 1, 1) by a translation. Find the image of (4, 5) under the same translation.
Free 1998 K.C.S.E Mathematics Topical Question & Answers Paper 2
In the figure, KLMN is a trapezium in which KL is parallel to NM and KL = 3 NM
Given that KN = w, NM = u and ML = v
Show that 2 u = v= w In the diagram below OABC is a parallelogram, OA = a and AB = b. N is a point on OA such that ON: NA = 1: 2
