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

What is the horizontal component of a vector R?

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

How do you find the resultant vector using components?

<p>Sum all horizontal and vertical components separately (D)</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 (A)</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 (D)</p> Signup and view all the answers

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

<p>R sin(θ) (B)</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. (A)</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. (C)</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. (D)</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. (C)</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. (C)</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. (A)</p> Signup and view all the answers

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