Page 288 - MATHEMATICS COURSE FOR SECONDARY SCHOOLS BOOK 2

5. Determine the resultant of the vectors XY and YZ y
COLLINEAR VECTORS
Two vectors are collinear if they lie on the same line.
Collinear vectors can be expressed in the form
a = kb.
C B
Common point B
A
If AB and BC have a common point B and
AB = kBC, then AB and BC are collinear vectors.
Y
21Z X
0123456789
PQ
x
4 3
6. Determine the resultant of the vectors y
Q 1P
4 3 2
R
0123456789
8.If 5
Illustrate on a diagram.
5
and 5
0
, determine
.
9. Given that KL 5 -5 and LM 5 -3
evaluate . KM Illustrate on a diagram.
EXAMPLE 8
() () 6 -7
,
-4 -6
10. IfXY 5( )andYZ 5( ),determineXZ.
Illustrate on a diagram.
x
and
PR
AB
( 42 )
( 23 )
AC PQ(2)(5) PR
7. Givethat
Illustrate on a diagram.
5
and 5
, calculate
.
7 -5
(a) Given that OP = mid-point of OP, find OX.
282
12 and X is the (8 )
mid-point of AB, find AY.
(b) Given that AB = and Y is the
() -6
(c) Given that OP = 25 and X is a point on ()
OP such that OX : XP = 2 : 3, find OX.
AB such that AY : YB = 4 : 5, find AY.
-36
(d) Given that AB = 27 and Y is a point on
-10
15
()