if the position vector of point P&Q are 2i+3j and i-3j respectively.find the vector PQ
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Answer:
p
=
i
−
3
j
q
=
4
i
+
5
j
→
p
q
=
q
−
p
=
4
i
+
5
j
−
(
i
−
3
j
)
=
3
i
+
8
j
A unit vector in the direction of some vector
a
is given by:
ˆ
a
=
a
|
|
a
|
|
∴
ˆ
p
q
=
p
q
|
|
p
q
|
|
|
|
p
q
|
|
=
√
(
3
)
2
+
(
8
)
2
=
√
73
ˆ
p
q
=
3
i
+
8
j
√
73
=
3
√
73
i
+
8
√
73
j
So a unit vector in the direction of
→
p
q
is:
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