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This module contains review questions and answers keyed to the module titled GAME 2302-0130: Putting the Game-Math Library to Work.

Table of contents

Preface

This module contains review questions and answers keyed to the module titled GAME 2302-0130: Putting the Game-Math Library to Work .

The questions and the answers are connected by hyperlinks to make it easy for you to navigate from the question to the answer and back again.

Questions

Question 1 .

What is the length of the vector represented by (3,0)T where the upper-case T indicates "transpose" and is often shown as an upper-case superscript T.

  • A. 2
  • B. 3
  • C. 4
  • D. 5

Answer 1

Question 2

True or False: When a 2D vector is aligned with the x axis, the column matrix that represents it has a non-zero value in the first element, and zero for the second element.

Answer 2

Question 3

True or False: When a 2D vector is aligned with the y axis, the column matrix that represents it has a non-zero value in the first element, and zero for thesecond element.

Answer 3

Question 4

What is the length of the vector represented by (0,4)T

  • A. 2
  • B. 3
  • C. 4
  • D. 5

Answer 4

Question 5

What is the length of the hypotenuse of a right triangle whose two sides are 6 and 8?

  • A. 6
  • B. 8
  • C. 10
  • D. 12

Answer 5

Question 6

What is the length of the vector represented by ( 4, 3 )T

  • A. 3
  • B. 4
  • C. 5
  • D. 6

Answer 6

Question 7

Given: The length of the vector v is often represented as |v|

Question: What is the value of |( 4, 3 )T|

  • A. 3
  • B. 4
  • C. 5
  • D. 6

Answer 7

Question 8

True or False: Given vectors u and v, the following is a true statement where>= indicates "greater than or equal"

|u + v|>= |u| + |v|

Answer 8

Question 9

True or False: Three dimensional vectors have length.

Answer 9

Question 10

Given:

  • The ^ character represents exponentiation
  • sqrt() represents computation of the square root of the value contained in the parentheses.
  • (x,y,z)T is a transpose column matrix that represents a three-dimensional vector

True or False: The following statement is true.

|(x,y,z)T| = sqrt(x^3 + y^3 + z^3)

Answer 10

Question 11

What is the value of |(2,-4,4)T|

  • A. 4
  • B. 5
  • C. 6
  • D. 7

Answer 11

Question 12

True or False: Length is a property of a vector and is not a property of the column matrix that is used to represent it.

Answer 12

Question 13

True or False: The length of a vector can be positive or negative.

Answer 13

Question 14

True or False: Two vectors that are equal to each other must have the same length.

Answer 14

Question 15

True or False: Two vectors that have the same length must be equal to each other.

Answer 15

Question 16

True or False: If v is a vector, then -v is a vector that is perpendicular to v.

Answer 16

Question 17

Given: the vector represented by (4,0)T

True or False: The vector is parallel to the X axis of the coordinate frame we are using. Often this is horizontal, pointing right. (Or, you might say that the vector is oriented at 0 degrees if you consider due East to be 0degrees.)

Answer 17

Question 18

Given: The orientation of a vector is usually expressed as an angle with the positive x axis of a coordinate frame. There are two ways of doing this:

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Source:  OpenStax, Game 2302 - mathematical applications for game development. OpenStax CNX. Jan 09, 2016 Download for free at https://legacy.cnx.org/content/col11450/1.33
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