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Mathematics
Mathematics
Problem
Statement I
Let
θ
\theta
θ
be the angle between the line
x
−
2
2
=
y
−
1
−
3
=
z
+
2
−
2
\frac{x-2}{2} = \frac{y-1}{-3} = \frac{z+2}{-2}
2
x
−
2
=
−
3
y
−
1
=
−
2
z
+
2
and the plane
x
+
y
−
z
=
5
x+y-z=5
x
+
y
−
z
=
5
. Then,
θ
=
sin
−
1
(
1
51
)
\theta = \sin^{-1}\left(\frac{1}{\sqrt{51}}\right)
θ
=
sin
−
1
(
51
1
)
.
Statement II
Angle between a straight line and a plane is the complement of angle between the line and normal to the plane.
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