Form 3 MathematicsForm 3 MathematicsForm 3 MathematicsThe points P, Q, R and S have position vectors 2p, 3p, r and 3r respectively, relative to an origin O. A point T divides PS internally in the ratio 1:6 (a) Find, in the simplest form, the vectors OT and QT in terms P and r ( 4 marks) (i) Show that the points Q, T, and R lie on a straight line ( 3 marks) Form 3 MathematicsPoint T is the midpoint of a straight line AB. Given the position vectors of A and T are i-j + k and 2i+ 1 ½ k respectively, find the position vector of B in terms of i, j \ and k. ( 3 marks) Form 3 Mathematics
Given that OA = 3i+ 4j+ 7k, OB= 4i + 3j + 9k and OC = i + 6j + 3k. show that points A, B and C are collinear.
Form 3 MathematicsA point R divides a line PQ internally in the ration 3:4. Another point S, divides the line PR externally in the ration 5:2. Given that PQ = 8cm, calculate the length of RS, correct to 2 decimal places. Form 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 Mathematics
Give that OA =2i a + 3 j and OB = 3i -2j, find the magnitude of AB to one decimal place
Form 3 Mathematics
If A,B and C are the points P and Q are p and q respectively is another point with position vector r = 3q - ½p. Express in terms of p and q.
i) PR
ii) RQ hence show that P,Q and R are collinear. iii) Determine the ratio PQ:QR. Form 3 Mathematics
Given that OA = 3i - 2j + and OB = 4i + j – 3k. Find the distance between points A and B to 2 decimal places.
Form 3 Mathematics |
TOPICS
Categories
All
ARCHIVES
AUTHOR
AuthorMaurice A Nyamoti is a Mathematics/ Computer Teacher and has passion to assist students improve grades RSS_FEED
PDF Docs
|