Question 1

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

Accepted Answer

A)  162° 
B)  -72° 
C)  -324 
D)  no solution 
A)  162° 
B)  -72° 
C)  -324 
D)  no solution

Question 2

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

Accepted Answer

A)  2 (cos0 + i sin 0) 
B)  2 (cos  $\pi$ + i sin  $\pi$) 
C)  -2 (cos 0 + i sin 0) 
D)  no solution 
A)  2 (cos0 + i sin 0) 
B)  2 (cos  $\pi$ + i sin  $\pi$) 
C)  -2 (cos 0 + i sin 0) 
D)  no solution

Question 3

Express the complex number in rectangular form.

Accepted Answer

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

Question 4

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

Question 5

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

Accepted Answer

A)   
B)   
C)   
D)   
A)   
B)   
C)   
D)

Question 6

Convert the point to exact rectangular coordinates.

Accepted Answer

A)    
B)    
C)    
D)    
A)    
B)    
C)    
D)

Question 7

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 solution 
A)  45.8 degrees 
B)  46.1 degrees 
C)  0.7 degrees 
D)  no solution

Question 8

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 9

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. 
A)  3,002,022 ft lbs. 
B)  1,596,203 ft lbs. 
C)  1,807,812 ft lbs. 
D)  5 ft lbs.

Question 10

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 11

Find the quotient, 
   
in rectangular form.
   and

Accepted Answer

The answer of Find the quotient, 
   
in...

Question 12

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

Accepted Answer

A)    
B)    
C)    
D)    
A)    
B)    
C)    
D)

Question 13

Graph the equation.

Accepted Answer

A)    
B)    
C)    
D)    
A)    
B)    
C)    
D)

Question 14

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

Accepted Answer

A)    
B)    
C)    
D)    
A)    
B)    
C)    
D)

Question 15

Determine if the vectors are orthogonal.
  and

Accepted Answer

A)  orthogonal 
B)  not orthogonal 
C)  0.0 
D)  no solution 
A)  orthogonal 
B)  not orthogonal 
C)  0.0 
D)  no solution

Question 16

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

Accepted Answer

A)  129° 
B)  -39° 
C)  -624 
D)  no solution 
A)  129° 
B)  -39° 
C)  -624 
D)  no solution

Question 17

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

Accepted Answer

A)    
B)    
C)    
D)    
A)    
B)    
C)    
D)

Question 18

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

Accepted Answer

Question 19

Find the dot product.

Accepted Answer

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

Question 20

Convert the point to exact rectangular coordinates.

Accepted Answer

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

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

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

Express the complex number in rectangular form.

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.

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

Convert the point to exact rectangular coordinates.

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.

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

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.

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

Find the quotient, in rectangular form. and

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

Graph the equation.

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

Determine if the vectors are orthogonal. and

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

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

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

Find the dot product.

Convert the point to exact rectangular coordinates.

Functions and Their Graphs

Polynomial and Rational Functions

Exponential and Logarithmic Functions

Trigonometric Functions of Angles

Trigonometric Functions of Real Numbers

Analytic Trigonometry

Systems of Linear Equations and Inequalities

Conics, Systems of Nonlinear Equations and Inequalities, and Parametric Equations

Sequences and Series

Limits: A Preview to Calculus

Review: Equations and Inequalities

Filters

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

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

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

Express the complex number in rectangular form.

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.

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

Convert the point to exact rectangular coordinates.

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.

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

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.

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

Find the quotient, in rectangular form. and

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

Graph the equation.

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

Determine if the vectors are orthogonal. and

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

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

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

Find the dot product.

Convert the point to exact rectangular coordinates.

Functions and Their Graphs

Polynomial and Rational Functions

Exponential and Logarithmic Functions

Trigonometric Functions of Angles

Trigonometric Functions of Real Numbers

Analytic Trigonometry

Systems of Linear Equations and Inequalities

Conics, Systems of Nonlinear Equations and Inequalities, and Parametric Equations

Sequences and Series

Limits: A Preview to Calculus

Review: Equations and Inequalities

Filters

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

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

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