KCSE MATHEMATICS QUESTIONS AND SOLUTIONS ~ Topically Analyzed
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VECTORS I | FORM 2 LEVEL | PAPER 1 | SECTION B | KCSE 1997In the figure below, OA is equal to A, OB is equal to B, AB is equal to BC, and OB is to BD in a ratio of 3:1. (a) Determine
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QUESTION 24 | KCSE 2023 | VECTORS I | PAPER 2 | FORM 2 LEVELIn the following figure OABC is a trapezium. OA is parallel to CB and OA = 3 CB. M is the midpoint of AB. (a) Given that OA = 3a and OC = c express in terms of a and c.
QUESTION 12 | KCSE 2023 | VECTORS I | PAPER 1 | FORM 2 LEVELVectors a, b and e are represented on the following grid. On the following grid, represent:
(a) the resultant vector a + b (2 marks) (b) the resultant vector (a + b) + c (2 marks) QUESTION 22 | KCSE 2021 | VECTORS I | PAPER 1 | FORM 2 LEVELThe position vectors of A and B are (-4, 6) and (-8, 2) respectively.
Point M is the midpoint of AB and point N is the midpoint of OA.
QUESTION 20 | KCSE 2022 | VECTORS I | PAPER 2 | FORM 2 LEVELIn the diagram below, the vertices of triangle ABC are A(0, 3), B(4.5, 6) and C(10.5, 0).
Points P(3, 5) and Q(9, 1.5) lie on lines AB and BC respectively.
KCSE 2020 MATHEMATICS ALT A PAPER 1 QUESTION 21 ON VECTORS
KCSE 2020 MATHEMATICS ALT A PAPER 1 QUESTION 21
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 (6-2).
(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. |
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