Q1.1
What are the x- and
y-components off
the
 vector
E?
A. Ex = E cos , Ey = E sin 
B. Ex = E sin , Ey = E cos 
C Ex = –E cos , Ey = –E sin 
C.
D. Ex = –E sin , Ey = –E cos 
E Ex = –E cos , Ey = E sin
E.
i 
© 2012 Pearson Education, Inc.
A1.1
What are the x–
and
d y–components
of the vector
E?
A. Ex = E cos , Ey = E sin 
B. Ex = E sin , Ey = E cos 
C Ex = –E cos , Ey = –E sin 
C.
D. Ex = –E sin , Ey = –E cos 
E Ex = –E cos , Ey = E sin
E.
i 
© 2012 Pearson Education, Inc.
Q1.2
Consider
C
id the
h
vectors shown.
Which is a correct
statement
about
 
A+ B?
A. x-component > 0, y-component > 0
B. x-component
p
> 0, y-component
p
<0
C. x-component < 0, y-component > 0
D x-component < 0,
D.
0 y-component < 0
E. x-component = 0, y-component > 0
© 2012 Pearson Education, Inc.
A1.2
Consider
C
id the
h
vectors shown.
Which is a correct
statement
about
 
A+ B?
A. x-component > 0, y-component > 0
B. x-component
p
> 0, y-component
p
<0
C. x-component < 0, y-component > 0
D x-component < 0,
D.
0 y-component < 0
E. x-component = 0, y-component > 0
© 2012 Pearson Education, Inc.
Q1.3
Consider
C
id the
h
vectors shown.
Which is a correct
statement
about
 
A  B?
A. x-component > 0, y-component > 0
B. x-component
p
> 0, y-component
p
<0
C. x-component < 0, y-component > 0
D x-component < 0,
D.
0 y-component < 0
E. x-component = 0, y-component > 0
© 2012 Pearson Education, Inc.
A1.3
Consider
C
id the
h
vectors shown.
Which is a correct
statement
about
 
A  B?
A. x-component > 0, y-component > 0
B. x-component
p
> 0, y-component
p
<0
C. x-component < 0, y-component > 0
D x-component < 0,
D.
0 y-component < 0
E. x-component = 0, y-component > 0
© 2012 Pearson Education, Inc.
Q1.4
Which

of the following statements is correct for any two vectors
A and B ?
 
A. The magnitude of A + B
 
B. The magnitude of A + B
 
C. The magnitude of A + B
 
D. The magnitude of A + B
 
E. The magnitude of A + B
© 2012 Pearson Education, Inc.
is A + B.
is A – B.
is greater than or equal to |A – B|.
 
is greater than the magnitude of A  B.
2
2
is A  B .
A1.4
Which

of the following statements is correct for any two vectors
A and B ?
 
A. The magnitude of A + B
 
B. The magnitude of A + B
 
C. The magnitude of A + B
 
D. The magnitude of A + B
 
E. The magnitude of A + B
© 2012 Pearson Education, Inc.
is A + B.
is A – B.
is greater than or equal to |A – B|.
 
is greater than the magnitude of A  B.
2
2
is A  B .
Q1.5
Which

of the following statements is correct for any two vectors
A and B ?
 
A. The magnitude of A  B
 
B. The magnitude of A  B
 
C. The magnitude of A  B
 
D. The magnitude of A  B
 
E. The magnitude of A  B
© 2012 Pearson Education, Inc.
is A – B.
is A + B.
is greater than or equal to |A – B|.
 
is less than the magnitude of A  B.
2
2
is A  B .
A1.5
Which

of the following statements is correct for any two vectors
A and B ?
 
A. The magnitude of A  B
 
B. The magnitude of A  B
 
C. The magnitude of A  B
 
D. The magnitude of A  B
 
E. The magnitude of A  B
© 2012 Pearson Education, Inc.
is A – B.
is A + B.
is greater than or equal to |A – B|.
 
is less than the magnitude of A  B.
2
2
is A  B .
Q1.6
Consider the vectors
shown.
What are the
components of the vector
  
E = A+ D?
A. Ex = –8.00 m, Ey = –2.00 m
B. Ex = –8.00 m, Ey = +2.00 m
C. Ex = –6.00 m, Ey = 0
D Ex = –66.00
D.
00 m,
m Ey = +2.00
+2 00 m
E. Ex = –10.0 m, Ey = 0
© 2012 Pearson Education, Inc.
A1.6
Consider the vectors
shown.
What are the
components of the vector
  
E = A+ D?
A. Ex = –8.00 m, Ey = –2.00 m
B. Ex = –8.00 m, Ey = +2.00 m
C. Ex = –6.00 m, Ey = 0
D Ex = –66.00
D.
00 m,
m Ey = +2.00
+2 00 m
E. Ex = –10.0 m, Ey = 0
© 2012 Pearson Education, Inc.
Q1.7
The angle  is measured
counterclockwise from the
positive x-axis
axis as shown
shown.
For which of these vectors
is  greatest?
A. 24 iˆ +18 ĵ
24iiˆ  18 jĵ
B 24
B.
C. 18 iˆ + 24 ĵ
D. 18iˆ  24 ˆj
© 2012 Pearson Education, Inc.
A1.7
The angle  is measured
counterclockwise from the
positive x-axis
axis as shown
shown.
For which of these vectors
is  greatest?
A. 24 iˆ +18 ĵ
24iiˆ  18 jĵ
B 24
B.
C. 18 iˆ + 24 ĵ
D. 18iˆ  24 ˆj
© 2012 Pearson Education, Inc.
Q1.8
Consider the vectors
shown.
p
What
  is the dot product
C • D?
A. (120 m2 ) cos 78.0°
B. ((120 m2 ) sin 78.0°
C. (120 m2 ) cos 62.0°
D (120 m2 ) sin 62.0
D.
62 0°
E. none of these
© 2012 Pearson Education, Inc.
A1.8
Consider the vectors
shown.
p
What
  is the dot product
C • D?
A. (120 m2 ) cos 78.0°
B. ((120 m2 ) sin 78.0°
C. (120 m2 ) cos 62.0°
D (120 m2 ) sin 62.0
D.
62 0°
E. none of these
© 2012 Pearson Education, Inc.
Q1.9
Consider the vectors
shown.
p
What
 is the cross product
A C ?
A. (96.0 m2 ) sin 25.0° k̂
B. ((96.0 m2 ) cos 25.0° k̂
C. –(96.0 m2 ) sin 25.0° k̂
D –(96
D.
(96.00 m2 ) cos 25
25.0
0° kk̂
E. none of these
© 2012 Pearson Education, Inc.
A1.9
Consider the vectors
shown.
What
p
 is the cross product
A C ?
A. (96.0 m2 ) sin 25.0° k̂
B. ((96.0 m2 ) cos 25.0° k̂
C. –(96.0 m2 ) sin 25.0° k̂
D –(96
D.
(96.00 m2 ) cos 25
25.0
0° kk̂
E. none of these
© 2012 Pearson Education, Inc.
Q1.10
Consider the two vectors

A = 3iˆ + 4 ˆj

B = 8iˆ + 6 ˆj
 
What is the dot product A  B ?
A. zero
B. 14
C. 48
D 50
D.
E. none of these
© 2012 Pearson Education, Inc.
A1.10
Consider the two vectors

A = 3iˆ + 4 ˆj

B = 8iˆ + 6 ˆj
 
What is the dot product A  B ?
A. zero
B. 14
C. 48
D 50
D.
E. none of these
© 2012 Pearson Education, Inc.
Q1.11
Consider the two vectors

A = 3iˆ + 4 ˆj

B = 8iˆ + 6 ˆj
 
What is the cross product A  B ?
A. 6 k̂
B. 6 k̂
C. 50 k̂
50k
k̂
D 50
D.
E. none of these
© 2012 Pearson Education, Inc.
A1.11
Consider the two vectors

A = 3iˆ + 4 ˆj

B = 8iˆ + 6 ˆj
 
What is the cross product A  B ?
A. 6 k̂
B. 6 k̂
C. 50 k̂
50k
k̂
D 50
D.
E. none of these
© 2012 Pearson Education, Inc.
Q1.12
Consider the two vectors

A = 3iˆ – 4 ˆj

B = 6 kˆ
 
What is the dot product A  B ?
A. zero
B. –6
C. +6
D 42
D.
E. –42
© 2012 Pearson Education, Inc.
A1.12
Consider the two vectors

A = 3iˆ – 4 ˆj

B = 6 kˆ
 
What is the dot product A  B ?
A. zero
B. –6
C. +6
D 42
D.
E. –42
© 2012 Pearson Education, Inc.
Q1.13
Consider the two vectors

A = 3iˆ – 4 ˆj

B = 6 kˆ
 
What is the cross product A  B ?
A. zero
B. 24 iˆ +18 ĵ
C. 24 iˆ  18 ĵ
ˆ
D 18 i + 24 jĵ
D.
E. 18 iˆ  24 ĵ
© 2012 Pearson Education, Inc.
A1.13
Consider the two vectors

A = 3iˆ – 4 ˆj

B = 6 kˆ
 
What is the cross product A  B ?
A. zero
B. 24 iˆ +18 ĵ
C. 24 iˆ  18 ĵ
ˆ
D 18 i + 24 jĵ
D.
E. 18 iˆ  24 ĵ
© 2012 Pearson Education, Inc.