1 Group 15
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Question 1.
For which values of a parameter
a
∈
ℝ
have the vectors
u
=
(
a
,
2
)
,
v
=
(
0
,
3
)
the deviation
60
°
?
a)
a
∈
{
-
2
3
,
2
3
}
b)
a
∈
{
-
2
,
2
}
c)
for none
a
d)
a
∈
{
-
4
2
,
4
2
}
e)
a
=
2
3
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
=
9
s
,
y
=
1
+
5
s
,
s
∈
ℝ
b)
x
=
-
2
-
5
s
,
y
=
1
+
9
s
,
s
∈
ℝ
c)
x
=
-
2
+
5
s
,
y
=
1
+
9
s
,
s
∈
ℝ
d)
x
=
-
2
+
9
s
,
y
=
1
+
5
s
,
s
∈
ℝ
e)
x
=
-
1
+
3
s
,
y
=
-
2
+
s
,
s
∈
ℝ
Question 3.
The distance of point
A
=
[
3
,
1
,
-
2
]
from the line
X
=
[
0
,
2
,
2
]
+
t
(
-
2
,
3
,
2
)
,
t
∈
ℝ
is equal to
a)
3.5
b)
9
c)
3
d)
7
e)
5
Evaluate