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Question 1.
For which values of a parameter
α
∈
ℝ
are vectors
u
=
(
α
,
α
+
1
,
-
8
)
,
v
=
(
5
,
α
,
2
)
perpendicular?
a)
α
∈
{
-
2
,
8
}
b)
α
∈
{
2
,
-
8
}
c)
α
=
-
2
d)
α
∈
{
-
2
,
-
8
}
e)
α
∈
{
2
,
8
}
Question 2.
The straight lines
2
x
+
3
y
+
5
=
0
and
3
x
-
2
y
+
3
=
0
are
a)
skew lines
b)
identical lines
c)
different parallels
d)
intersecting lines which are not perpendicular
e)
perpendicular intersecting lines
Question 3.
The deviation of the line
A
B
, where
A
=
[
1
,
2
,
3
]
,
B
=
[
-
1
,
7
,
-
2
]
, from the plane
2
x
-
5
y
+
5
z
=
0
is equal to
a)
π
4
b)
π
3
c)
π
6
d)
π
2
e)
2
π
3
Evaluate