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 (A)</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 (C)</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 (A)</p> Signup and view all the answers

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

<p>Vectors (B)</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 (C)</p> Signup and view all the answers

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

<p>Vector space (A)</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 (C)</p> Signup and view all the answers

What are the two attributes of a vector?

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

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

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

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

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

What is the zero vector defined as?

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

1.2

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

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

<p>Point (A)</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 (D)</p> Signup and view all the answers

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

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

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

<p>Vectors (B)</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 (A)</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 (C)</p> Signup and view all the answers

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

<p>Vectors (D)</p> Signup and view all the answers

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

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

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

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

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

<p>Vector space (C)</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 (D)</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 (C)</p> Signup and view all the answers

What are the two attributes of a vector?

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

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

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

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

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

More Like This

Vector  and 3d geometry
5 questions

Vector and 3d geometry

WondrousChaparral avatar
WondrousChaparral
Untitled Quiz
24 questions

Untitled Quiz

ReformedBaltimore6652 avatar
ReformedBaltimore6652
Use Quizgecko on...
Browser
Browser