1 Group 16
back
next question
back to list
Question 1.
Determine the vector
x
, which satisfies the equation
1
2
a
-
2
x
=
b
-
5
x
, where
a
=
(
2
,
-
6
)
,
b
=
(
4
,
-
9
)
.
a)
x
=
(
1
,
-
1
)
b)
x
=
(
1
,
-
2
)
c)
x
=
(
-
1
,
-
4
)
d)
x
=
(
-
1
,
2
)
e)
x
=
(
1
,
4
)
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
=
-
1
+
3
s
,
y
=
-
2
+
s
,
s
∈
ℝ
c)
x
=
-
2
+
9
s
,
y
=
1
+
5
s
,
s
∈
ℝ
d)
x
=
-
2
+
5
s
,
y
=
1
+
9
s
,
s
∈
ℝ
e)
x
=
-
2
-
5
s
,
y
=
1
+
9
s
,
s
∈
ℝ
Question 3.
Determine the deviation of the straight line
A
B
, where
A
=
[
3
,
-
1
,
8
]
,
B
=
[
0
,
2
,
-
1
]
from the plane
2
x
-
y
+
z
-
3
=
0
.
a)
arcsin
(
7
12
)
b)
arcsin
(
6
11
)
c)
arcsin
(
3
11
)
d)
arcsin
(
5
12
)
e)
arcsin
(
2
13
)
Evaluate