Unit Vector Perpendicular to Plane (Jee Mains) | ExamDuo
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3D Plane Equations
Medium
Unit Vector Perpendicular to Plane
Let a unit vector
◠
OP
make angle
α
,
β
,
γ
with the positive directions of the co-ordinate axes
OX
,
OY
,
OZ
respectively, where
β
∈
(
0
,
π
2
)
◠
OP
is perpendicular to the plane through points (1, 2, 3),
(
2
,
3
,
4
)
and
(
1
,
5
,
7
)
, then which one of the following is true ?
Ask about this question
SELECT ONE OPTION
A
α
∈
(
π
2
,
π
)
and
γ
∈
(
π
2
,
π
)
B
α
∈
(
0
,
π
2
)
and
γ
∈
(
0
,
π
2
)
C
α
∈
(
π
2
,
π
)
and
γ
∈
(
0
,
π
2
)
D
α
∈
(
0
,
π
2
)
and
γ
∈
(
π
2
,
π
)
Check