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Mathematics
Mathematics
Problem
The sine of angle formed by the lateral face ADC and plane of the base ABC of the tetrahedron ABCD where
A
=
(
3
,
−
2
,
1
)
A = (3, -2, 1)
A
=
(
3
,
−
2
,
1
)
;
B
=
(
3
,
1
,
5
)
B = (3, 1, 5)
B
=
(
3
,
1
,
5
)
;
C
=
(
4
,
0
,
3
)
C = (4, 0, 3)
C
=
(
4
,
0
,
3
)
and
D
=
(
1
,
0
,
0
)
D = (1, 0, 0)
D
=
(
1
,
0
,
0
)
is - (A)
2
29
\frac{2}{\sqrt{29}}
29
2
(B)
5
29
\frac{5}{\sqrt{29}}
29
5
(C)
3
3
29
\frac{3\sqrt{3}}{\sqrt{29}}
29
3
3
(D)
−
2
29
\frac{-2}{\sqrt{29}}
29
−
2
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