1 Group 11
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Question 1.
Given points
A
=
[
2
,
-
1
,
3
]
,
B
=
[
1
,
1
,
1
]
,
C
=
[
0
,
0
,
5
]
. The internal angle
α
=
∠
C
A
B
of the triangle
A
B
C
is
a)
α
=
90
°
b)
α
=
arccos
(
-
2
3
5
)
c)
α
=
arccos
2
3
d)
α
=
0
°
e)
α
=
45
°
Question 2.
The midline
t
b
of the triangle
A
B
C
, where
A
=
[
5
,
2
]
,
B
=
[
-
2
,
1
]
and
C
=
[
0
,
5
]
, lies on the straight line
a)
x
=
-
2
-
5
s
,
y
=
1
+
9
s
,
s
∈
ℝ
b)
x
=
-
2
+
9
s
,
y
=
1
+
5
s
,
s
∈
ℝ
c)
x
=
-
1
+
3
s
,
y
=
-
2
+
s
,
s
∈
ℝ
d)
x
=
-
2
+
5
s
,
y
=
1
+
9
s
,
s
∈
ℝ
e)
x
=
9
s
,
y
=
1
+
5
s
,
s
∈
ℝ
Question 3.
The distance of the point
A
=
[
0
,
1
,
0
]
from the intersection of planes
x
+
y
-
z
-
7
=
0
,
2
x
+
3
y
-
2
z
-
13
=
0
is equal to
a)
2
b)
5
c)
4
d)
6
e)
3
Evaluate