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Mathematics
Mathematics
Problem
The angle between the lines
A
B
AB
A
B
and
C
D
CD
C
D
, where
A
=
(
0
,
0
,
0
)
A = (0, 0, 0)
A
=
(
0
,
0
,
0
)
,
B
=
(
1
,
1
,
1
)
B = (1, 1, 1)
B
=
(
1
,
1
,
1
)
,
C
=
(
−
1
,
−
1
,
−
1
)
C = (-1, -1, -1)
C
=
(
−
1
,
−
1
,
−
1
)
and
D
=
(
0
,
1
,
0
)
D = (0, 1, 0)
D
=
(
0
,
1
,
0
)
is given by a.
cos
θ
=
1
3
\cos \theta = \frac{1}{\sqrt{3}}
cos
θ
=
3
1
b.
cos
θ
=
4
3
2
\cos \theta = \frac{4}{3\sqrt{2}}
cos
θ
=
3
2
4
c.
cos
θ
=
1
5
\cos \theta = \frac{1}{\sqrt{5}}
cos
θ
=
5
1
d.
cos
θ
=
1
2
2
\cos \theta = \frac{1}{2\sqrt{2}}
cos
θ
=
2
2
1
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