Similarly, 
1
ˆ
QP
OS
yj
=
=
uuur
uuur
 and 
ˆ
OQ
xi
=
uuur Fig 10 13
Fig 10 14
© NCERT
not to be republished
 MATHEMATICS
434
Therefore, it follows that
OP1
uuur  =
1
ˆ
ˆ
OQ + QP
xi
yj
=
+
uuur
uuur
and
OP
uuur  =
1
1
ˆ
ˆ
ˆ
OP + P P
xi
yj
zk
=
+
+
uuur
uuuur
Hence, the position vector of P with reference to O is given by
OP (or
)
r
uuur
r  =
ˆ
ˆ
ˆ
xi
yj
zk
+
+
This form of any vector is called its component form