Question 1

Identify the quadratic surface defined by   .

Accepted Answer

Hyperbolic

Question 2

Convert   from spherical to rectangular coordinates.

Accepted Answer

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

Question 3

Find the vector equation of the line though the point   that is parallel to   .

Accepted Answer

A)    ,

B)    ,
  ,
  
C)    ,
  ,
  
D)    ,
  ,
  
E)    ,
  ,
  
A)    ,

B)    ,
  ,
  
C)    ,
  ,
  
D)    ,
  ,
  
E)    ,
  ,

Question 4

The equation for the cylinder with radius 6 oriented symmetric about the x-axis is

Accepted Answer

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

Question 5

Find the norm of v.

Accepted Answer

A)    
B)    
C)    
D)  0 
E)   
  
A)    
B)    
C)    
D)  0 
E)

Question 6

Convert   from rectangular to spherical coordinates. Coordinates are written as   .

Accepted Answer

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

Question 7

Find the equation of the plane that contains   and   and is parallel to the line of intersection of the planes   and   .

Accepted Answer

The answer of Find the equation of the plane that...

Question 8

A parallelogram has   and   as adjacent sides. Find the area, in square units, of the parallelogram.

Accepted Answer

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

Question 9

Find the dot product   .

Accepted Answer

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

Question 10

Find the angle between   and   . Approximate your answer to 1 decimal place.

Accepted Answer

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

Question 11

Find the dot product.

Accepted Answer

The answer of Find the dot product.  ...

Question 12

The surface described by   is

Accepted Answer

A)  a point 
B)  a parabola 
C)  a circle 
D)  a sphere 
E)  a line 
A)  a point 
B)  a parabola 
C)  a circle 
D)  a sphere 
E)  a line

Question 13

Find the components of the vector   if   .

Accepted Answer

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

Question 14

The distance from (-5, -2, 2) to the origin is approximately

Accepted Answer

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

Question 15

Find   .

Accepted Answer

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

Question 16

Find the cosine of the angle between   and   .

Accepted Answer

The answer of Find the cosine of the angle between...

Question 17

Are   ,   , and   coplanar?

Accepted Answer

The answer of Are   ,   ,...

Question 18

Find the angle between   and   . Round the angle to one decimal place.

Accepted Answer

The answer of Find the angle between   and...

Question 19

Find   .

Accepted Answer

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

Question 20

The equation for the cylinder with radius 4 oriented symmetric about the y-axis is

Accepted Answer

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

Identify the quadratic surface defined by .

Convert from spherical to rectangular coordinates.

Find the vector equation of the line though the point that is parallel to .

The equation for the cylinder with radius 6 oriented symmetric about the x-axis is

Find the norm of v.

Convert from rectangular to spherical coordinates. Coordinates are written as .

Find the equation of the plane that contains and and is parallel to the line of intersection of the planes and .

A parallelogram has and as adjacent sides. Find the area, in square units, of the parallelogram.

Find the dot product .

Find the angle between and . Approximate your answer to 1 decimal place.

Find the dot product.

The surface described by is

Find the components of the vector if .

The distance from (-5, -2, 2) to the origin is approximately

Find .

Find the cosine of the angle between and .

Are , , and coplanar?

Find the angle between and . Round the angle to one decimal place.

Find .

The equation for the cylinder with radius 4 oriented symmetric about the y-axis is

Limits and Continuity

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The Derivative in Graphing and Applications

Integration

Applications of the Definite Integral in Geometry, Science and Engineering

Principle of Integral Evaluation

Mathematical Modeling With Differential Equations

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Parametric and Polar Curves; Conic Sections

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Exam 11: Three-Dimensional Space; Vectors

Identify the quadratic surface defined by .

Convert from spherical to rectangular coordinates.

Find the vector equation of the line though the point that is parallel to .

The equation for the cylinder with radius 6 oriented symmetric about the x-axis is

Find the norm of v.

Convert from rectangular to spherical coordinates. Coordinates are written as .

Find the equation of the plane that contains and and is parallel to the line of intersection of the planes and .

A parallelogram has and as adjacent sides. Find the area, in square units, of the parallelogram.

Find the dot product .

Find the angle between and . Approximate your answer to 1 decimal place.

Find the dot product.

The surface described by is

Find the components of the vector if .

The distance from (-5, -2, 2) to the origin is approximately

Find .

Find the cosine of the angle between and .

Are , , and coplanar?

Find the angle between and . Round the angle to one decimal place.

Find .

The equation for the cylinder with radius 4 oriented symmetric about the y-axis is

Limits and Continuity

The Derivative

Topics in Deifferentiation

The Derivative in Graphing and Applications

Integration

Applications of the Definite Integral in Geometry, Science and Engineering

Principle of Integral Evaluation

Mathematical Modeling With Differential Equations

Infinte Series

Parametric and Polar Curves; Conic Sections

Vector-Valued Functions

Partial Derivatives

Multiple Integrals

Topics in Vector Calculus

Filters