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Mathematics
Mathematics
Problem
Which of the following planes are parallel but not identical?
P
1
:
4
x
−
2
y
+
6
z
=
3
P_1 : 4x - 2y + 6z = 3
P
1
:
4
x
−
2
y
+
6
z
=
3
P
2
:
4
x
−
2
y
−
2
z
=
6
P_2 : 4x - 2y - 2z = 6
P
2
:
4
x
−
2
y
−
2
z
=
6
P
3
:
−
6
x
+
3
y
−
9
z
=
5
P_3 : -6x + 3y - 9z = 5
P
3
:
−
6
x
+
3
y
−
9
z
=
5
P
4
:
2
x
−
y
−
z
=
3
P_4 : 2x - y - z = 3
P
4
:
2
x
−
y
−
z
=
3
a.
P
2
P_2
P
2
and
P
3
P_3
P
3
b.
P
2
P_2
P
2
and
P
4
P_4
P
4
c.
P
1
P_1
P
1
and
P
3
P_3
P
3
d.
P
1
P_1
P
1
and
P
4
P_4
P
4
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