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Two sloping roofs of a hut lie in the planes x - 2y +… | StemPy Lab
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Two sloping roofs of a hut lie in the planes x - 2y + 2z = 3 and 2x + 2y - z = 4. Which expression gives the acute angle between the roofs?
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High School (11–12)
Vectors and Three-Dimensional Geometry › Three-Dimensional Geometry
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Two sloping roofs of a hut lie in the planes
x
−
2
y
+
2
z
=
3
x - 2y + 2z = 3
x
−
2
y
+
2
z
=
3
and
2
x
+
2
y
−
z
=
4
2x + 2y - z = 4
2
x
+
2
y
−
z
=
4
. Which expression gives the acute angle between the roofs?
cos
−
1
(
−
4
9
)
\cos^{-1}\left(-\dfrac{4}{9}\right)
cos
−
1
(
−
9
4
)
cos
−
1
4
9
\cos^{-1}\dfrac{4}{9}
cos
−
1
9
4
cos
−
1
8
9
\cos^{-1}\dfrac{8}{9}
cos
−
1
9
8
cos
−
1
4
3
\cos^{-1}\dfrac{4}{3}
cos
−
1
3
4
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