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Return to Foundations of Science Mathematics 2e Student Resources
Chapter 8 Multiple choice questions
Vectors
Quiz Content
*
not completed
.
Which of the following operations is
not
permitted for vectors
a
and
b
?
a
+
b
correct
incorrect
a
–
b
correct
incorrect
a
x
b
correct
incorrect
a
/
b
correct
incorrect
*
not completed
.
Given vectors
a
,
b
and
c
, which of the following is a vector?
(
a
x
b
)
•
c
correct
incorrect

a
x (
b
x
c
)
correct
incorrect
(
a
x
c
)
/
(
a
•
b
)
correct
incorrect
(
a
x
b
)
•
(
a
x
c
)
correct
incorrect
*
not completed
.
Which of the following is
not
consistent with the other three?
Vectors
a
,
b
and
c
are linearly independent.
correct
incorrect
(
a
x
b
)
•
c
= 0
correct
incorrect
a
,
b
and
c
can be used as basis vectors.
correct
incorrect
a
,
b
and
c
are mutually orthogonal.
correct
incorrect
*
not completed
.
Which of the following is the longest vector?
j
– 10
k
correct
incorrect
2
i
+ 9
j
+ 3
k
correct
incorrect
8
i
– 6
j
correct
incorrect
7
i
+ 3
j
+ 6
k
correct
incorrect
*
not completed
.
Which one of the following pairs of vectors is perpendicular?
i
+ 2
j
+ 3
k
and 3
i
+
j
– 2
k
.
correct
incorrect
7i
– 2
j
+ 3
k
and
i
+ 2
j
–
k
.
correct
incorrect
2
i
+
k
and
j
–
k
.
correct
incorrect
3
i
+
j
– 3
k
and 4
i
– 5
j
+ 2
k
.
correct
incorrect
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