Fermi
·
Concept Library
·
Courses
·
Books
·
Problems
·
Simulations
·
Math Wiki
·
High School
Fermi
›
Problems
Mathematics
Mathematics
Problem
Π
1
:
x
−
3
y
+
2
z
=
−
7
\Pi_1: x - 3y + 2z = -7
Π
1
:
x
−
3
y
+
2
z
=
−
7
,
Π
2
:
4
x
+
y
−
z
=
−
5
\Pi_2: 4x + y - z = -5
Π
2
:
4
x
+
y
−
z
=
−
5
,
Π
3
:
6
x
−
5
y
+
3
z
=
1
\Pi_3: 6x - 5y + 3z = 1
Π
3
:
6
x
−
5
y
+
3
z
=
1
. Show that the three planes
Π
1
\Pi_1
Π
1
,
Π
2
\Pi_2
Π
2
and
Π
3
\Pi_3
Π
3
do not intersect, and describe their geometrical configuration.
Browse the problem library