Cross Product Determinant Definition Quiz
5 Questions
1 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 is the geometric interpretation of the cross product of two non-zero vectors a and b?

  • They form two adjacent sides of a triangle.
  • They form two adjacent sides of a quadrilateral.
  • They form two opposite sides of a parallelogram.
  • They form two adjacent sides of a parallelogram. (correct)

    • For two vectors a = and b = in V3, how is the cross product of a and b defined?

  • As the product of the magnitudes of a and b.
  • As the sum of the components of a and b.
  • As the dot product of a and b.
  • As a vector perpendicular to both a and b. (correct)

    • What is the determinant of a 2 × 2 matrix of real numbers?

  • The sum of the diagonal elements.
  • The product of the off-diagonal elements.
  • The product of the diagonal elements minus the product of the off-diagonal elements divided by 2.
  • The product of the diagonal elements minus the product of the off-diagonal elements. (correct)

    • What is the determinant of a 3 × 3 matrix of real numbers defined as?

    <p>The sum of three 2 × 2 determinants.</p> Signup and view all the answers

    When are two non-zero vectors a and b in V3 parallel?

    <p>$a \times b = 0$</p> Signup and view all the answers

    More Like This

    Use Quizgecko on...
    Browser
    Open
    Browser
    Browser