Question 1

Find the magnitude of the vector AB.
A = (6, 45) and B = (8, 50)

Accepted Answer

The answer of Find the magnitude of the vector AB.
A...

Question 2

A force of 457 pounds is acting on an object at an angle of 74 degrees from the horizontal. Another force of 292 pounds is acting at an angle 1 degrees from the horizontal. What is the angle of the resultant force? Round to one decimal place.

Accepted Answer

A)   45.8 degrees
B)   46.1 degrees
C)   0.7 degrees
D)   no solutionE) A) and D)
F) A) and C)

Question 3

Find the product, z1z2 in rectangular form.
z1 = 3 [ cos 197° + i sin 197° ] and z2 = 10 [ cos 28° + i sin 28° ]

Accepted Answer

Question 4

Express the complex number in polar form.
2 + 0 i

Accepted Answer

A)   2 (cos0 + i sin 0) 
B)   2 (cos   π\piπ  + i sin   π\piπ ) 
C)   -2 (cos 0 + i sin 0) 
D)   no solution E) C) and D)
F) B) and D)

Question 5

Find the angle (round to the nearest degree)  between the vectors.
 and

Accepted Answer

A)   129°
B)   -39°
C)   -624
D)   no solutionE) B) and C)
F) B) and D)

Question 6

Find the angle (round to the nearest degree)  between the vectors.
 and

Accepted Answer

A)   162°
B)   -72°
C)   -324
D)   no solutionE) A) and B)
F) A) and C)

Question 7

Graph the equation.

Accepted Answer

A)   
B)   
C)   
D)   E) A) and B)
F) None of the above

Question 8

Find the quotient,
1 = 64 [ cos 187° + i sin 187° ] and z2 = 8 [ cos 52° + i sin 52° ] A)    B)    C)    D)   " class="answers-bank-image d-inline" rel="preload" >
In rectangular form.
Z1 = 64 [ cos 187° + i sin 187° ] and z2 = 8 [ cos 52° + i sin 52° ]

Accepted Answer

A)   1 = 64 [ cos 187° + i sin 187° ] and z2 = 8 [ cos 52° + i sin 52° ] 
A)     
B)     
C)     
D)    " class="answers-bank-image d-inline" rel="preload" >
B)   1 = 64 [ cos 187° + i sin 187° ] and z2 = 8 [ cos 52° + i sin 52° ] 
A)     
B)     
C)     
D)    " class="answers-bank-image d-inline" rel="preload" >
C)   1 = 64 [ cos 187° + i sin 187° ] and z2 = 8 [ cos 52° + i sin 52° ] 
A)     
B)     
C)     
D)    " class="answers-bank-image d-inline" rel="preload" >
D)   1 = 64 [ cos 187° + i sin 187° ] and z2 = 8 [ cos 52° + i sin 52° ] 
A)     
B)     
C)     
D)    " class="answers-bank-image d-inline" rel="preload" >E) C) and D)
F) All of the above

Question 9

To slide a crate across the floor, a force of 241 pounds at a 40° is needed. How much work is done if the crate is dragged 31 feet. Round to the nearest integer.

Accepted Answer

A)   5,723 ft lbs.
B)   4,802 ft lbs.
C)   6,269 ft lbs.
D)   10 ft lbs.E) A) and D)
F) B) and C)

Question 10

Find the quotient, 
  
in rectangular form.
  and

Accepted Answer

The answer of Find the quotient, 
  
in rectangular...

Question 11

Use a calculator to express the complex number in rectangular form. Round to four decimal places.

Accepted Answer

A)   
B)   
C)   
D)   E) A) and B)
F) A) and C)

Question 12

Find all complex solutions to the equation.Write answers in rectangular form.

Accepted Answer

A)   
B)   
C)   
D)   E) None of the above
F) A) and B)

Question 13

Find the dot product.

Accepted Answer

A)   64
B)   1,472
C)   -160
D)   30E) C) and D)
F) A) and D)

Question 14

Perform the indicated vector operation given u =  and v = .
-5 (u + v)

Accepted Answer

A)   
B)   
C)   
D)   E) A) and C)
F) C) and D)

Question 15

Find the quotient, 
  
in rectangular form.
z1 = 104 [ cos 173° + i sin 173° ] and z2 = 4 [ cos 23° + i sin 23° ]

Accepted Answer

Question 16

A car that weighs 4000 lbs. is parked on a hill in San Francisco with a slant of 28° from the horizontal. A tow truck has to remove the truck from its parking spot and move it 850 feet up the hill. How much work is required? Round to the nearest integer.

Accepted Answer

A)   3,002,022 ft lbs.
B)   1,596,203 ft lbs.
C)   1,807,812 ft lbs.
D)   5 ft lbs.E) All of the above
F) C) and D)

Question 17

Convert the point to exact rectangular coordinates.

Accepted Answer

The answer of Convert the point to exact rectangular coordinates.
...

Question 18

Convert the point to exact rectangular coordinates.

Accepted Answer

A)   
B)   
C)   
D)   E) A) and B)
F) B) and C)

Question 19

Determine if the vectors are orthogonal.
 and

Accepted Answer

A)   orthogonal
B)   not orthogonal
C)   0.0
D)   no solutionE) A) and B)
F) A) and C)

Question 20

Express the complex number in rectangular form.

Accepted Answer

The answer of Express the complex number in rectangular form....

Exam 7: Vectors, the Complex Plane, and Polar Coordinates

Express the complex number in polar form. 2 + 0 i

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Determine if the vectors are orthogonal. and

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Find the angle (round to the nearest degree) between the vectors. < -8.9, 15 > and < 14.8, -12.8 >

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Use a calculator to express the complex number in rectangular form. Round to four decimal places.

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Find all complex solutions to the equation.Write answers in rectangular form.

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Find the angle (round to the nearest degree) between the vectors. and

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Find the quotient, in rectangular form. and

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Find the quotient, in rectangular form. z1 = 104 [ cos 173° + i sin 173° ] and z2 = 4 [ cos 23° + i sin 23° ]

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Find the magnitude of the vector AB. A = (6, 45) and B = (8, 50)

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Find the quotient, In rectangular form. Z1 = 64 [ cos 187° + i sin 187° ] and z2 = 8 [ cos 52° + i sin 52° ]

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Convert the point to exact rectangular coordinates.

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Find the dot product.

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Convert the point to exact rectangular coordinates.

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To slide a crate across the floor, a force of 241 pounds at a 40° is needed. How much work is done if the crate is dragged 31 feet. Round to the nearest integer.

Correct AnswerverifiedShow Answer

A car that weighs 4000 lbs. is parked on a hill in San Francisco with a slant of 28° from the horizontal. A tow truck has to remove the truck from its parking spot and move it 850 feet up the hill. How much work is required? Round to the nearest integer.

Correct AnswerverifiedShow Answer

A force of 457 pounds is acting on an object at an angle of 74 degrees from the horizontal. Another force of 292 pounds is acting at an angle 1 degrees from the horizontal. What is the angle of the resultant force? Round to one decimal place.

Correct AnswerverifiedShow Answer

Perform the indicated vector operation given u = < -5, -24 > and v = < -3, 13 >. -5 (u + v)

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Express the complex number in rectangular form.

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Find the product, z1z2 in rectangular form. z1 = 3 [ cos 197° + i sin 197° ] and z2 = 10 [ cos 28° + i sin 28° ]

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Graph the equation.

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Find the quotient, in rectangular form. z₁ = 104 [ cos 173° + i sin 173° ] and z₂ = 4 [ cos 23° + i sin 23° ]

Correct Answer
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Correct Answer
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Find the quotient, In rectangular form. Z₁ = 64 [ cos 187° + i sin 187° ] and z₂ = 8 [ cos 52° + i sin 52° ]

Correct Answer
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Find the product, z₁z₂ in rectangular form. z₁ = 3 [ cos 197° + i sin 197° ] and z₂ = 10 [ cos 28° + i sin 28° ]

Correct Answer
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Correct Answer
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