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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
. The equation of the plane
A
B
C
ABC
A
B
C
is a.
x
+
y
+
z
−
3
=
0
x + y + z - 3 = 0
x
+
y
+
z
−
3
=
0
b.
y
+
z
−
1
=
0
y + z - 1 = 0
y
+
z
−
1
=
0
c.
x
+
z
−
1
=
0
x + z - 1 = 0
x
+
z
−
1
=
0
d.
2
y
+
z
−
1
=
0
2y + z - 1 = 0
2
y
+
z
−
1
=
0
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