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Mathematics
Mathematics
Problem
Let
L
L
L
be the line of intersection of the planes
2
x
+
3
y
+
z
=
1
2x + 3y + z = 1
2
x
+
3
y
+
z
=
1
and
x
+
3
y
+
2
z
=
2
x + 3y + 2z = 2
x
+
3
y
+
2
z
=
2
. If
L
L
L
makes an angle
α
\alpha
α
with the positive
X
X
X
-axis, then
cos
α
\cos \alpha
cos
α
equals a.
1
/
3
1/\sqrt{3}
1/
3
b.
1
/
2
1/2
1/2
c.
1
1
1
d.
1
/
2
1/\sqrt{2}
1/
2
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