1 Group 3
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Question 1.
Vectors
u
=
(
4
,
-
2
)
,
v
=
(
3
,
4
)
have the deviation
a)
arccos
2
5
25
b)
arcsin
12
15
c)
arccos
12
15
d)
arcsin
1
125
e)
arccos
4
5
+
20
Question 2.
All the real parameters
a
such that
the lines x
-
y
+
5
=
0
and
a
x
+
2
y
+
1
=
0
intersect are
a)
a
∈
ℝ
∖
{
2
}
b)
a
∈
ℝ
∖
{
-
2
}
c)
a
∈
ℝ
d)
a
∈
ℝ
∖
{
-
1
2
}
e)
a
∈
ℝ
∖
{
0
}
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)
4
b)
3
c)
2
d)
6
e)
5
Evaluate