Geometric Objects & Transformation - Part 1 Quiz
32 Questions
3 Views

Choose a study mode

Play Quiz
Study Flashcards
Spaced Repetition
Chat to lesson

Podcast

Play an AI-generated podcast conversation about this lesson

Questions and Answers

What type of operations are allowed between points and vectors in a three-dimensional geometric system?

  • Point-point subtraction (correct)
  • Point-plane addition
  • Vector-scalar multiplication
  • Scalar-vector subtraction
  • What is the fundamental geometric object in a three-dimensional geometric system?

  • Scalar
  • Plane
  • Vector
  • Point (correct)
  • Which of the following possesses only its location in space as an attribute in a three-dimensional geometric system?

  • Scalar
  • Plane
  • Point (correct)
  • Vector
  • What attribute does a point possess in a three-dimensional geometric system?

    <p>Location in space</p> Signup and view all the answers

    What types of basic types are needed to define most geometric objects in a three-dimensional space?

    <p>Points, vectors, and scalars</p> Signup and view all the answers

    In computer graphics, what are we interested in when studying objects that exist in three dimensions?

    <p>Objects that exist in three dimensions</p> Signup and view all the answers

    In computer graphics, what are often used to connect points?

    <p>Vectors</p> Signup and view all the answers

    What are the two fundamental operations that can be applied to members of sets in vector spaces?

    <p>Addition and multiplication</p> Signup and view all the answers

    What is the most important mathematical space mentioned in the text?

    <p>Vector space</p> Signup and view all the answers

    Which type of object is included in an affine space but not in a vector space?

    <p>Points</p> Signup and view all the answers

    What are the two attributes of a vector?

    <p>Magnitude and direction</p> Signup and view all the answers

    Which mathematical space contains rules for combining scalars through addition and multiplication?

    <p>Vector space</p> Signup and view all the answers

    What type of system do coordinate systems and frames solve in computer graphics?

    <p>Reference problem</p> Signup and view all the answers

    What is the zero vector defined as?

    <p>-Zero magnitude, undefined orientation</p> Signup and view all the answers

    Which type of operation can change the length and direction of directed line segments?

    <p>Scalar-vector multiplication</p> Signup and view all the answers

    1.2

    <p>Points exist in space regardless of any reference or coordinate system.</p> Signup and view all the answers

    What is the fundamental geometric object in a three-dimensional geometric system?

    <p>Point</p> Signup and view all the answers

    What types of basic types are needed to define most geometric objects in a three-dimensional space?

    <p>Points and vectors</p> Signup and view all the answers

    What attribute does a point possess in a three-dimensional geometric system?

    <p>Location in space</p> Signup and view all the answers

    Which type of operations are allowed between points and vectors in a three-dimensional geometric system?

    <p>Vector subtraction</p> Signup and view all the answers

    In computer graphics, what are often used to connect points?

    <p>Vectors</p> Signup and view all the answers

    What are we interested in when studying objects that exist in three dimensions in computer graphics?

    <p>The location of the objects</p> Signup and view all the answers

    What are the two fundamental operations that can be applied to members of sets in vector spaces?

    <p>Addition and multiplication</p> Signup and view all the answers

    In computer graphics, what are often used to connect points?

    <p>Vectors</p> Signup and view all the answers

    What type of system do coordinate systems and frames solve in computer graphics?

    <p>Reference problem</p> Signup and view all the answers

    Which mathematical space contains rules for combining scalars through addition and multiplication?

    <p>Vector space</p> Signup and view all the answers

    What is the most important mathematical space mentioned in the text?

    <p>Vector space</p> Signup and view all the answers

    Which type of object is included in an affine space but not in a vector space?

    <p>Points</p> Signup and view all the answers

    What type of operations are allowed between points and vectors in a three-dimensional geometric system?

    <p>Addition and multiplication</p> Signup and view all the answers

    What are the two attributes of a vector?

    <p>Direction and magnitude</p> Signup and view all the answers

    What attribute does a point possess in a three-dimensional geometric system?

    <p>Both position and magnitude</p> Signup and view all the answers

    Which type of operation can change the length and direction of directed line segments?

    <p>Multiplication operation</p> Signup and view all the answers

    More Like This

    Vector  and 3d geometry
    5 questions

    Vector and 3d geometry

    WondrousChaparral avatar
    WondrousChaparral
    Projection Techniques in 3D Graphics
    8 questions
    Use Quizgecko on...
    Browser
    Browser