Gr 11 Physical Sciences: Ch 1.2 Components of vectors
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Questions and Answers

What is the purpose of resolving a vector into its components?

  • To find the angle of the original vector
  • To find the magnitude of the original vector
  • To simplify the vector addition process (correct)
  • To make the vector addition process more complex

    • What is the trigonometric identity used to determine the magnitude of the horizontal component of a vector?

  • R_x = R cos(θ) (correct)
  • R_x = R tan(θ)
  • R_x = R sin(θ)
  • R_x = R / cos(θ)

    • What is the direction of the angle θ measured from?

  • The positive x-axis (correct)
  • The negative x-axis
  • The positive y-axis
  • The negative y-axis

    • What is the last step in the method of vector addition using components?

    <p>Use the sums to find the resultant vector</p> Signup and view all the answers

    What is the resultant vector of two or more vectors acting together?

    <p>A single vector that combines the effects of multiple vectors</p> Signup and view all the answers

    What is the advantage of using components to find the resultant of vectors?

    <p>It can be used for both graphical and algebraic methods</p> Signup and view all the answers

    What is the preferred orientation of the components when resolving a vector?

    <p>Parallel to the x- and y-axes</p> Signup and view all the answers

    What is the horizontal component of a vector R?

    <p>R cos(θ)</p> Signup and view all the answers

    How do you find the resultant vector using components?

    <p>Sum all horizontal and vertical components separately</p> Signup and view all the answers

    What is the first step in the method of vector addition using components?

    <p>Make a rough sketch of the problem</p> Signup and view all the answers

    What is the purpose of using a right-angled triangle when resolving into components?

    <p>To apply trigonometric identities</p> Signup and view all the answers

    What is the expression for the vertical component of a vector R?

    <p>R sin(θ)</p> Signup and view all the answers

    Which of the following statements about resolving vectors into components is true?

    <p>The choice of orthogonal components does not affect the original vector.</p> Signup and view all the answers

    What is the purpose of using trigonometric identities when resolving vectors into components?

    <p>To find the magnitudes of the components.</p> Signup and view all the answers

    If the horizontal component of a vector R is Rx, what is the relationship between Rx and R?

    <p>Rx is proportional to R.</p> Signup and view all the answers

    What is the benefit of using components to find the resultant of multiple vectors?

    <p>It simplifies the process of vector addition.</p> Signup and view all the answers

    If the vertical component of a vector R is Ry, what is the relationship between Ry and R?

    <p>Ry is proportional to R.</p> Signup and view all the answers

    Which of the following is a step in the method of vector addition using components?

    <p>Sum all horizontal and vertical components separately.</p> Signup and view all the answers

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