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Substituting these in Eq. (3.13), we get
x
+
y
+
c
=
0
(3.14)
Substituting the point 21 in Eq. (3.14) gives
2
+
1
+
c
=
0
c
=
1
and the line equation is
x
+
y
+
1
=
0
with a normal vector
i
+
j
−−→
P 2 P 3
x 1 =
3
y 1 =
2
x 2 =
2
y 2 =
3
Substituting these in Eq. (3.13), we get
x
y
+
c
=
0
(3.15)
Substituting the point 32 in Eq. (3.15) gives
3
2
+
c
=
0
c
=
5
and the line equation is
+
=
x
y
5
0
with a normal vector
i
j
−−→
P 3 P 4
x 1 =
2
y 1 =
3
x 2 =
1
y 2 =
2
Substituting these in Eq. (3.13), we get
+
=
x
y
c
0
(3.16)
Substituting the point 23 in Eq. (3.16) gives
2
3
+
c
=
0
c
=
1
and the line equation is
x
y
+
1
=
0
with a normal vector
i
j
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