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Mathematics
Problem
Assuming the plane
4
x
−
3
y
+
7
z
=
0
4x-3y+7z=0
4
x
−
3
y
+
7
z
=
0
to be horizontal, find the equation of the line of greatest slope through the point
(
2
,
1
,
1
)
(2, 1, 1)
(
2
,
1
,
1
)
in the plane
2
x
+
y
−
5
z
=
0
2x+y-5z=0
2
x
+
y
−
5
z
=
0
.
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