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Two parallel glass sheets lie in the planes 2x - y + 2z… | StemPy Lab
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Two parallel glass sheets lie in the planes 2x - y + 2z = 1 and 4x - 2y + 4z = -10, with lengths in metres. What is the distance between the sheets?
Mathematics
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High School (11–12)
Vectors and Three-Dimensional Geometry › Three-Dimensional Geometry
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Two parallel glass sheets lie in the planes
2
x
−
y
+
2
z
=
1
2x - y + 2z = 1
2
x
−
y
+
2
z
=
1
and
4
x
−
2
y
+
4
z
=
−
10
4x - 2y + 4z = -10
4
x
−
2
y
+
4
z
=
−
10
, with lengths in metres. What is the distance between the sheets?
11
3
m
\dfrac{11}{3}\ \text{m}
3
11
m
6
m
6\ \text{m}
6
m
1
3
m
\dfrac{1}{3}\ \text{m}
3
1
m
2
m
2\ \text{m}
2
m
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