moore (jwm2685) – HW06 – gilbert – (55485)
1
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printout
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have
10
questions.
Multiplechoice questions may continue on
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before answering.
001
10.0points
Which, if any, of the following
A.
−
−−→
QP ,
B.
PQ ,
are representations of vectors when
P, Q
are
points in 3space?
1.
B only
2.
A only
correct
3.
both of them
4.
neither of them
Explanation:
A. TRUE:
−
−−→
QP
isthedisplacement vector
havinginitialpoint
P
andterminalpoint
Q
.
B. FALSE:
PQ
is the line segment from
P
to
Q
.
keywords: vectors, scalars, T/F, line segment,
displacement vector, length
002
10.0points
When
u
,
v
are the displacement vectors
u
=
−→
AP ,
v
=
−→
AC ,
determined by the parallelogram
A
B
C
P
Q
R
S
O
express
−→
AQ
in terms of
u
and
v
.
1.
−→
AQ
=
1
2
v
−
u
2.
−→
AQ
=
−
1
2
u
3.
−→
AQ
=
1
2
u
+
v
4.
−→
AQ
=
−
1
2
v
5.
−→
AQ
=
1
2
u
−
v
6.
−→
AQ
=
u
+
1
2
vcorrect
Explanation:
By the parallelogram law for the addition
of vectors we see that
−→
AQ
=
u
+
1
2
v
.
003
10.0points
Find the vector
v
having a representation
by the directed line segment
−−→
AB
with respect
to points
A
(2
,
−
2) and
B
(
−
4
,
3).
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 Spring '07
 TextbookAnswers
 Linear Algebra, Vector Space, 3j, 3 mi

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