J13

2. On a squared paper draw the vectors represented by the following column vectors.
(a)
3
1
PQ =
(b) IJ =
4
2
(c)
5
2
RS =
(d) MN =
2
3
(e)
0
2
AB =
(f) CD =
3
0
Equivalent vectors
Vectors are equal if they have the same magnitude and the same direction. The figure
below shows two pairs of equivalent vectors. UV = WX and u = v.
3
3
Note: If AB = then, BA = . The vectors AB and BA have the same length but
4
4
opposite directions.
Given a point P(x1, y1), we can plot the point on a graph paper by locating it x1 units and
y1 units from the origin. When this point is joined to another point
(x2, y2), the directed line joining the two points form a vector.
Example