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© 2012 Pearson Education, Inc. What are the x- and y- components of the vector A. E x = E cos , E y = E sin B. E x = E sin , E y = E cos C. E x = –E cos , E y = –E sin D. E x = –E sin , E y = –E cos E. E x = –E cos , E y = E Q1.1 r E ?

© 2012 Pearson Education, Inc. What are the x- and y-components of the vector A. E x = E cos , E y = E sin B. E x = E sin , E y = E cos C. E x =

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Page 1: © 2012 Pearson Education, Inc. What are the x- and y-components of the vector A. E x = E cos , E y = E sin B. E x = E sin , E y = E cos C. E x =

© 2012 Pearson Education, Inc.

What are the x- and y-components of the vector

A. Ex = E cos , Ey = E sin

B. Ex = E sin , Ey = E cos

C. Ex = –E cos , Ey = –E sin

D. Ex = –E sin , Ey = –E cos

E. Ex = –E cos , Ey = E sin

Q1.1

rE?

Page 2: © 2012 Pearson Education, Inc. What are the x- and y-components of the vector A. E x = E cos , E y = E sin B. E x = E sin , E y = E cos C. E x =

© 2012 Pearson Education, Inc.

A1.1What are the x– and y–components of the vector

rE?

A. Ex = E cos , Ey = E sin

B. Ex = E sin , Ey = E cos

C. Ex = –E cos , Ey = –E sin

D. Ex = –E sin , Ey = –E cos

E. Ex = –E cos , Ey = E sin

Page 3: © 2012 Pearson Education, Inc. What are the x- and y-components of the vector A. E x = E cos , E y = E sin B. E x = E sin , E y = E cos C. E x =

© 2012 Pearson Education, Inc.

Consider the vectors shown. Which is a correct statement about

Q1.2

r r?A+ B

A. x-component > 0, y-component > 0

B. x-component > 0, y-component < 0

C. x-component < 0, y-component > 0

D. x-component < 0, y-component < 0

E. x-component = 0, y-component > 0

Page 4: © 2012 Pearson Education, Inc. What are the x- and y-components of the vector A. E x = E cos , E y = E sin B. E x = E sin , E y = E cos C. E x =

© 2012 Pearson Education, Inc.

A1.2

Consider the vectors shown. Which is a correct statement aboutr r

?A+ B

A. x-component > 0, y-component > 0

B. x-component > 0, y-component < 0

C. x-component < 0, y-component > 0

D. x-component < 0, y-component < 0

E. x-component = 0, y-component > 0

Page 5: © 2012 Pearson Education, Inc. What are the x- and y-components of the vector A. E x = E cos , E y = E sin B. E x = E sin , E y = E cos C. E x =

© 2012 Pearson Education, Inc.

Q1.3

Consider the vectors shown. Which is a correct statement about

−r r

?A B

A. x-component > 0, y-component > 0

B. x-component > 0, y-component < 0

C. x-component < 0, y-component > 0

D. x-component < 0, y-component < 0

E. x-component = 0, y-component > 0

Page 6: © 2012 Pearson Education, Inc. What are the x- and y-components of the vector A. E x = E cos , E y = E sin B. E x = E sin , E y = E cos C. E x =

© 2012 Pearson Education, Inc.

A1.3

Consider the vectors shown. Which is a correct statement about

−r r

?A B

A. x-component > 0, y-component > 0

B. x-component > 0, y-component < 0

C. x-component < 0, y-component > 0

D. x-component < 0, y-component < 0

E. x-component = 0, y-component > 0

Page 7: © 2012 Pearson Education, Inc. What are the x- and y-components of the vector A. E x = E cos , E y = E sin B. E x = E sin , E y = E cos C. E x =

© 2012 Pearson Education, Inc.

Q1.4

Which of the following statements is correct for any two vectors

A. The magnitude of is A + B.

B. The magnitude of is A – B.

C. The magnitude of is greater than or equal to |A – B|.

D. The magnitude of is greater than the magnitude of .

E. The magnitude of is .

r rand ?A B

r rA+ Br rA+ Br rA+ Br rA+ Br rA+ B

−r rA B

A2 + B2

Page 8: © 2012 Pearson Education, Inc. What are the x- and y-components of the vector A. E x = E cos , E y = E sin B. E x = E sin , E y = E cos C. E x =

© 2012 Pearson Education, Inc.

A1.4

Which of the following statements is correct for any two vectors

A. The magnitude of is A + B.

B. The magnitude of is A – B.

C. The magnitude of is greater than or equal to |A – B|.

D. The magnitude of is greater than the magnitude of .

E. The magnitude of is .

r rand ?A B

r rA+ Br rA+ Br rA+ Br rA+ Br rA+ B A2 + B2

−r rA B

Page 9: © 2012 Pearson Education, Inc. What are the x- and y-components of the vector A. E x = E cos , E y = E sin B. E x = E sin , E y = E cos C. E x =

© 2012 Pearson Education, Inc.

Which of the following statements is correct for any two vectors

Q1.5

r rand ?A B

A. The magnitude of is A – B.

B. The magnitude of is A + B.

C. The magnitude of is greater than or equal to |A – B|.

D. The magnitude of is less than the magnitude of .

E. The magnitude of is .

−r rA B

−r rA B

−r rA B

−r rA B

−r rA B

+r rA B

A2 + B2

Page 10: © 2012 Pearson Education, Inc. What are the x- and y-components of the vector A. E x = E cos , E y = E sin B. E x = E sin , E y = E cos C. E x =

© 2012 Pearson Education, Inc.

Which of the following statements is correct for any two vectors

A. The magnitude of is A – B.

B. The magnitude of is A + B.

C. The magnitude of is greater than or equal to |A – B|.

D. The magnitude of is less than the magnitude of .

E. The magnitude of is .

A1.5

r rand ?A B

−r rA B

−r rA B

−r rA B

−r rA B

−r rA B

+r rA B

A2 + B2

Page 11: © 2012 Pearson Education, Inc. What are the x- and y-components of the vector A. E x = E cos , E y = E sin B. E x = E sin , E y = E cos C. E x =

© 2012 Pearson Education, Inc.

Consider the vectors shown.

What are the components of the vector

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 = –6.00 m, Ey = +2.00 m

E. Ex = –10.0 m, Ey = 0

Q1.6

rr r?E = A+ D

Page 12: © 2012 Pearson Education, Inc. What are the x- and y-components of the vector A. E x = E cos , E y = E sin B. E x = E sin , E y = E cos C. E x =

© 2012 Pearson Education, Inc.

Consider the vectors shown.

What are the components of the vector

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 = –6.00 m, Ey = +2.00 m

E. Ex = –10.0 m, Ey = 0

A1.6

rr r?E = A+ D

Page 13: © 2012 Pearson Education, Inc. What are the x- and y-components of the vector A. E x = E cos , E y = E sin B. E x = E sin , E y = E cos C. E x =

© 2012 Pearson Education, Inc.

Q1.7

The angle is measured counterclockwise from the positive x-axis as shown. For which of these vectors is greatest?

A.

B.

C.

D.

24 i +18 j

−24 i −18 j

−18i +24 j

−18i − 24 j

Page 14: © 2012 Pearson Education, Inc. What are the x- and y-components of the vector A. E x = E cos , E y = E sin B. E x = E sin , E y = E cos C. E x =

© 2012 Pearson Education, Inc.

A1.7

The angle is measured counterclockwise from the positive x-axis as shown. For which of these vectors is greatest?

A.

B.

C.

D.

24 i +18 j

−24 i −18 j

−18i +24 j

−18i − 24 j

Page 15: © 2012 Pearson Education, Inc. What are the x- and y-components of the vector A. E x = E cos , E y = E sin B. E x = E sin , E y = E cos C. E x =

© 2012 Pearson Education, Inc.

Q1.8

Consider the vectors shown.

What is the dot productr r?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°

E. none of these

Page 16: © 2012 Pearson Education, Inc. What are the x- and y-components of the vector A. E x = E cos , E y = E sin B. E x = E sin , E y = E cos C. E x =

© 2012 Pearson Education, Inc.

A. (120 m2 ) cos 78.0°

B. (120 m2 ) sin 78.0°

C. (120 m2 ) cos 62.0°

D. (120 m2 ) sin 62.0°

E. none of these

A1.8

Consider the vectors shown.

What is the dot productr r?C • D

Page 17: © 2012 Pearson Education, Inc. What are the x- and y-components of the vector A. E x = E cos , E y = E sin B. E x = E sin , E y = E cos C. E x =

© 2012 Pearson Education, Inc.

A. (96.0 m2 ) sin 25.0°

B. (96.0 m2 ) cos 25.0°

C. –(96.0 m2 ) sin 25.0°

D. –(96.0 m2 ) cos 25.0°

E. none of these

Q1.9

Consider the vectors shown.

What is the cross product×

r r?A C

k

k

k

k

Page 18: © 2012 Pearson Education, Inc. What are the x- and y-components of the vector A. E x = E cos , E y = E sin B. E x = E sin , E y = E cos C. E x =

© 2012 Pearson Education, Inc.

A. (96.0 m2 ) sin 25.0°

B. (96.0 m2 ) cos 25.0°

C. –(96.0 m2 ) sin 25.0°

D. –(96.0 m2 ) cos 25.0°

E. none of these

A1.9

Consider the vectors shown.

What is the cross product×

r r?A C

k

k

k

k

Page 19: © 2012 Pearson Education, Inc. What are the x- and y-components of the vector A. E x = E cos , E y = E sin B. E x = E sin , E y = E cos C. E x =

© 2012 Pearson Education, Inc.

Consider the two vectors

A. zero

B. 14

C. 48

D. 50

E. none of these

Q1.10

−

r

rˆ ˆ3 4

ˆ ˆ8 6

A = i + j

B = i + j

What is the dot product •r r

?A B

Page 20: © 2012 Pearson Education, Inc. What are the x- and y-components of the vector A. E x = E cos , E y = E sin B. E x = E sin , E y = E cos C. E x =

© 2012 Pearson Education, Inc.

Consider the two vectors

A1.10

−

r

rˆ ˆ3 4

ˆ ˆ8 6

A = i + j

B = i + j

What is the dot product •r r

?A B

A. zero

B. 14

C. 48

D. 50

E. none of these

Page 21: © 2012 Pearson Education, Inc. What are the x- and y-components of the vector A. E x = E cos , E y = E sin B. E x = E sin , E y = E cos C. E x =

© 2012 Pearson Education, Inc.

Consider the two vectors

Q1.11

−

r

rˆ ˆ3 4

ˆ ˆ8 6

A = i + j

B = i + j

What is the cross product ×r r

?A B

A.

B.

C.

D.

E. none of these

6k

−6k

50k

−50k

Page 22: © 2012 Pearson Education, Inc. What are the x- and y-components of the vector A. E x = E cos , E y = E sin B. E x = E sin , E y = E cos C. E x =

© 2012 Pearson Education, Inc.

Consider the two vectors

A1.11

−

r

rˆ ˆ3 4

ˆ ˆ8 6

A = i + j

B = i + j

What is the cross product ×r r

?A B

A.

B.

C.

D.

E. none of these

6k

−6k

50k

−50k

Page 23: © 2012 Pearson Education, Inc. What are the x- and y-components of the vector A. E x = E cos , E y = E sin B. E x = E sin , E y = E cos C. E x =

© 2012 Pearson Education, Inc.

Consider the two vectors

Q1.12

r

rˆ ˆ3 4

ˆ6

A = i – j

B = k

What is the dot product •r r

?A B

A. zero

B. –6

C. +6

D. 42

E. –42

Page 24: © 2012 Pearson Education, Inc. What are the x- and y-components of the vector A. E x = E cos , E y = E sin B. E x = E sin , E y = E cos C. E x =

© 2012 Pearson Education, Inc.

Consider the two vectors

A1.12

r

rˆ ˆ3 4

ˆ6

A = i – j

B = k

What is the dot product •r r

?A B

A. zero

B. –6

C. +6

D. 42

E. –42

Page 25: © 2012 Pearson Education, Inc. What are the x- and y-components of the vector A. E x = E cos , E y = E sin B. E x = E sin , E y = E cos C. E x =

© 2012 Pearson Education, Inc.

Consider the two vectors

Q1.13

r

rˆ ˆ3 4

ˆ6

A = i – j

B = k

What is the cross product ×r r

?A B

A. zero

B.

C.

D.

E.

24 i +18 j

−24 i −18 j

−18i +24 j

−18i − 24 j

Page 26: © 2012 Pearson Education, Inc. What are the x- and y-components of the vector A. E x = E cos , E y = E sin B. E x = E sin , E y = E cos C. E x =

© 2012 Pearson Education, Inc.

Consider the two vectors

A1.13

r

rˆ ˆ3 4

ˆ6

A = i – j

B = k

What is the cross product ×r r

?A B

A. zero

B.

C.

D.

E.

24 i +18 j

−24 i −18 j

−18i +24 j

−18i − 24 j


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Trabajo W = F x · x = F · x · cos

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faculty.valenciacollege.edufaculty.valenciacollege.edu/pfernandez/Calculus/CIII... · Web view0 π 4 sin (x) cos (x) dydx= 0 π 4 cos x - sin x dx= sin x +cos (x) | 0 π 4 = 2 -1

faculty.valenciacollege.edufaculty.valenciacollege.edu/pfernandez/Calculus/CIII... · Web view0 π 4 sin (x) cos (x) dydx= 0 π 4 cos x - sin x dx= sin x +cos (x) | 0 π 4 = 2 -1

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CONJUNTO DE NÚMEROS · ALE 1 MÁS ADELANTE CUANDO VEAMOS L`HOPITAL cos 1 cos 2 ( ) cos: " " : ( ) ( ) cos aa a Estoes f a a CONCLUSIÓN Paraun x engeneral será f x sen x f x x de

CONJUNTO DE NÚMEROS · ALE 1 MÁS ADELANTE CUANDO VEAMOS L`HOPITAL cos 1 cos 2 ( ) cos: " " : ( ) ( ) cos aa a Estoes f a a CONCLUSIÓN Paraun x engeneral será f x sen x f x x de

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FAU · 2.6. P/E = OxE— OxB= = Hoi + (RN) = 8 (X) COS txt e) = d (x) cos(to£) to E (x) (c) 1m 95 1M Shùznz 2C — ) Hspr¿ck.£ :

FAU · 2.6. P/E = OxE— OxB= = Hoi + (RN) = 8 (X) COS txt e) = d (x) cos(to£) to E (x) (c) 1m 95 1M Shùznz 2C — ) Hspr¿ck.£ :

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