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Mathematics
Mathematics
Problem
Given four points
A
(
2
,
1
,
0
)
A(2, 1, 0)
A
(
2
,
1
,
0
)
,
B
(
1
,
0
,
1
)
B(1, 0, 1)
B
(
1
,
0
,
1
)
,
C
(
3
,
0
,
1
)
C(3, 0, 1)
C
(
3
,
0
,
1
)
and
D
(
0
,
0
,
2
)
D(0, 0, 2)
D
(
0
,
0
,
2
)
. Point
D
D
D
lies on a line
L
L
L
orthogonal to the plane determined by the points
A
,
B
A, B
A
,
B
and
C
C
C
. What is the perpendicular distance of
D
D
D
from the plane
A
B
C
ABC
A
B
C
? a.
2
\sqrt{2}
2
b.
1
/
2
1/2
1/2
c. 2 d.
1
/
2
1/\sqrt{2}
1/
2
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