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Mathematics
Mathematics
Problem
The volume of a right triangular prism
A
B
C
A
1
B
1
C
1
ABCA_1B_1C_1
A
B
C
A
1
B
1
C
1
is equal to 3. Find the coordinates of the vertex
A
1
A_1
A
1
, if the coordinates of the base vertices of the prism are
A
(
1
,
0
,
1
)
A(1, 0, 1)
A
(
1
,
0
,
1
)
,
B
(
2
,
0
,
0
)
B(2, 0, 0)
B
(
2
,
0
,
0
)
and
C
(
0
,
1
,
0
)
C(0, 1, 0)
C
(
0
,
1
,
0
)
. a.
(
−
2
,
0
,
2
)
(-2, 0, 2)
(
−
2
,
0
,
2
)
b.
(
0
,
−
2
,
0
)
(0, -2, 0)
(
0
,
−
2
,
0
)
c.
(
0
,
2
,
0
)
(0, 2, 0)
(
0
,
2
,
0
)
d.
(
2
,
2
,
2
)
(2, 2, 2)
(
2
,
2
,
2
)
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