1 Group 1
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Question 1.
The oriented segment
A
B
represents the vector
v
=
(
3
,
5
)
and
S
=
[
4
,
1
]
is the centre of the segment
A
B
. The point
A is
a)
A
=
[
11
2
,
7
2
]
b)
A
=
[
3
2
,
5
2
]
c)
A
=
[
7
2
,
1
2
]
d)
A
=
[
5
2
,
-
3
2
]
e)
A
=
[
2
,
1
2
]
Question 2.
Given the straight line
X
=
[
-
3
,
2
]
+
t
(
4
,
-
1
)
,
t
∈
ℝ
. The points of the straight line are within the third quadrant for
t
a)
t
∈
⟨
3
4
,
∞
)
b)
t
∈
⟨
2
,
∞
)
c)
Pro žádné
t
.
d)
t
∈
⟨
3
4
,
2
⟩
e)
t
∈
(
-
∞
,
2
⟩
Question 3.
The orthogonal projection of the point
A
=
[
4
,
4
,
-
1
]
onto the plane
X
=
[
2
,
1
,
3
]
+
t
(
1
,
0
,
1
)
+
u
(
1
,
1
,
2
)
,
t
,
u
∈
ℝ is the point
a)
[
2
,
2
,
2
]
b)
[
1
,
1
,
1
]
c)
[
1
,
1
,
2
]
d)
[
1
,
2
,
3
]
e)
[
2
,
1
,
2
]
Evaluate