Linear Algebra Quiz
20 questions · no time limit
0:00
Finish quiz
INNER PRODUCT SPACES & ORTHOGONALITY
Question 1
of 20
Flag for review
No time limit
Current
Answered
Flagged
Not seen
The set of vectors
S
=
{
(
2
2
−
1
)
,
(
2
−
1
2
)
,
(
x
2
2
)
}
S = \left\{ \begin{pmatrix} 2 \\ 2 \\ -1 \end{pmatrix}, \begin{pmatrix} 2 \\ -1 \\ 2 \end{pmatrix}, \begin{pmatrix} x \\ 2 \\ 2 \end{pmatrix} \right\}
S
=
⎩
⎨
⎧
2
2
−
1
,
2
−
1
2
,
x
2
2
⎭
⎬
⎫
is given to be an orthogonal set. What must be the value of
x
x
x
?
A
x
=
2
x = 2
x
=
2
B
x
=
1
x = 1
x
=
1
C
x
=
−
1
x = -1
x
=
−
1
D
x
=
−
2
x = -2
x
=
−
2
YOUR PROGRESS
20
QUESTIONS
Ready when you are
Answer in any order. Your progress shows here as you go.
QUESTIONS
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
KEYBOARD
Pick an answer
A
B
C
D
Next question
↵
→
Previous
←
Flag for review
F