Vector Quantities Quiz
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Vector Quantities Quiz

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@SuppleLandArt

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Questions and Answers

What is the defining characteristic of a scalar quantity?

  • It can be expressed by its magnitude and units alone (correct)
  • It can be expressed by its magnitude, direction, and units
  • It can be expressed by its magnitude and direction
  • It can be expressed by its direction and units alone

    • What property of vector addition states that the order of the addends does not affect the sum?

  • Identity property
  • Multiplicative property
  • Commutative property (correct)
  • Associative property

    • Which of the following is a defining characteristic of a unit vector?

  • Its direction is indeterminate
  • Its direction is opposite to the original vector
  • Its magnitude is one (correct)
  • Its magnitude is zero

    • What property of scalar multiplication states that the product of a vector and the sum of two scalars is equal to the sum of the products of the vector with each scalar?

    <p>Distributive property</p> Signup and view all the answers

    The dot product of two vectors is defined as $|u||v|\cos\theta$. What does the angle $\theta$ represent?

    <p>The angle between the two vectors</p> Signup and view all the answers

    Which property states that the scalar product of vectors is commutative?

    <p>a. The scalar product of vectors is commutative: u ⋅ v = v ⋅ u</p> Signup and view all the answers

    Which property states that the scalar product is distributive over vector addition?

    <p>c. Distributivity: u × (v + w) = u × v + u × w</p> Signup and view all the answers

    What is the result of the cross product of a vector with itself?

    <p>d. u × u = 0</p> Signup and view all the answers

    Which property states that the cross product of two vectors is orthogonal to both vectors?

    <p>a. (u × v) ⋅ u = (u × v) ⋅ v = 0</p> Signup and view all the answers

    What is the result of the triple scalar product u ⋅ (v × w)?

    <p>d. u ⋅ (v × w) = (u × v) ⋅ w</p> Signup and view all the answers

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