Page 287 - MATHEMATICS COURSE FOR SECONDARY SCHOOLS BOOK 2

ADDITION OF VECTORS
B
EXERCISE 13.8
1. Determine the resultant of the vectors and
y
C
x
4 3 2
B 1A
C
0123456789
A
2. Determine the resultant of the vectors and y
4 3 2
3. Determine the resultant of the vectors and y
A ship travels from part A to part B, them from part B to part C.
These two displacements are equivalent to a dis- placement from part A and part C.
QR 1P
x
That is
So
AB + BC = AC
(5 )+ (4 )= (9 ) 3 -2 1
0123456789
AC is the sum (or resultant) of the vectors AB and BC.
The resultant (or sum) of the two vectors can also be calculated by adding the two column matrices (or vectors).
So
4
3
2
1 W
0 1 2
X
3 4 5 6 7
Y
x
8 9 10 11 12
AC = AB + BC =(5)+ (4)
4. Determine the resultant of the vectors and y
x
(3-2)4 B =5+4 3
=(39 [-2]) 2
A C = ( 19 )
0 1 2 3 4 5 6 7 8 9
3-21CA
281
4 BC =(-2 )
AB =(53 )
A C = ( 19 )