Gr 11 Physical Sciences: Ch 1.1 Resultant of perpendicular vectors
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Questions and Answers

What is the main purpose of using perpendicular vectors in vector addition?

  • To find the magnitude of individual vectors
  • To simplify calculations of resultant vectors (correct)
  • To change the direction of individual vectors
  • To complicate calculations of resultant vectors

    • How are angles typically measured in vector direction specification?

  • Clockwise from the positive y-axis
  • Anti-clockwise from the positive x-axis (correct)
  • Anti-clockwise from the negative y-axis
  • Clockwise from the negative x-axis

    • What is vector equality?

  • Vectors with the same direction but different magnitudes
  • Vectors that can only start at the origin
  • Vectors with the same magnitude but different directions
  • Vectors that can be positioned anywhere on the Cartesian plane without changing their physical meaning (correct)

    • What is the resultant vector?

    <p>The combined effect of multiple vectors acting simultaneously</p> Signup and view all the answers

    How can vectors be specified?

    <p>Using either compass directions or bearings</p> Signup and view all the answers

    What is a characteristic of vectors on the Cartesian plane?

    <p>They can be positioned anywhere on the plane without changing their physical meaning</p> Signup and view all the answers

    What is the advantage of using algebraic method for adding vectors?

    <p>It provides a more accurate result than the graphical method</p> Signup and view all the answers

    What is the characteristic of perpendicular vectors?

    <p>They form a right angle</p> Signup and view all the answers

    What is the main characteristic of a closed vector diagram?

    <p>The net effect of all vectors in the diagram is zero.</p> Signup and view all the answers

    What is the purpose of drawing lines parallel to each vector from the head of the other in the tail-to-tail method?

    <p>To find the head of the resultant vector.</p> Signup and view all the answers

    What is the formula used to find the magnitude of the resultant vector when dealing with perpendicular vectors?

    <p>R = sqrt(Rx^2 + Ry^2)</p> Signup and view all the answers

    What is an advantage of using the tail-to-tail method?

    <p>It simplifies the addition process for any number of vectors.</p> Signup and view all the answers

    What is the condition for using Pythagoras' theorem to find the magnitude of the resultant vector?

    <p>The vectors must be perpendicular.</p> Signup and view all the answers

    What does the order of adding vectors not affect?

    <p>The resultant vector.</p> Signup and view all the answers

    When adding vectors, which method can be used for any number of vectors?

    <p>Tail-to-Tail Method</p> Signup and view all the answers

    What is indicated by a closed vector diagram?

    <p>The net effect of all vectors in the diagram is zero</p> Signup and view all the answers

    Which method can be used to find the magnitude of the resultant vector when dealing with perpendicular vectors?

    <p>Pythagoras' Theorem</p> Signup and view all the answers

    What is the formula used to find the magnitude of the resultant vector when dealing with perpendicular vectors?

    <p>R = √(Rx^2 + Ry^2)</p> Signup and view all the answers

    What is the direction of the resultant vector in a closed vector diagram?

    <p>Undefined</p> Signup and view all the answers

    What is a characteristic of the resultant vector in a closed vector diagram?

    <p>It has zero magnitude</p> Signup and view all the answers

    When are vectors considered perpendicular?

    <p>When they form a right angle</p> Signup and view all the answers

    What is the importance of specifying the direction of a vector?

    <p>It is essential for accurate representation and calculation</p> Signup and view all the answers

    What is the significance of the Cartesian plane in vector representation?

    <p>It is used to represent vectors in two dimensions</p> Signup and view all the answers

    What is the purpose of using compass directions in vector specification?

    <p>To describe vector directions in navigation and geography</p> Signup and view all the answers

    What is the result of adding vectors in two dimensions?

    <p>The combined effect of multiple vectors acting simultaneously</p> Signup and view all the answers

    What is the condition for using Pythagoras' theorem to find the magnitude of the resultant vector?

    <p>The vectors must be perpendicular</p> Signup and view all the answers

    What happens when the direction and magnitude of a vector are preserved?

    <p>The vector maintains its physical meaning</p> Signup and view all the answers

    What is the significance of anti-clockwise angles in vector direction specification?

    <p>They are used to measure positive angles</p> Signup and view all the answers

    What is the consequence of altering the direction of a vector while keeping its magnitude constant?

    <p>The vector's physical meaning is lost.</p> Signup and view all the answers

    Why are bearings typically used in navigation and geography?

    <p>To provide a numerical way to specify directions.</p> Signup and view all the answers

    What is the primary advantage of using the graphical method for adding vectors?

    <p>It provides a visual representation of the vector addition.</p> Signup and view all the answers

    When can vectors be considered equal?

    <p>When they have the same magnitude and direction.</p> Signup and view all the answers

    What is the primary significance of the Cartesian plane in vector representation?

    <p>It enables the representation of vectors in two dimensions.</p> Signup and view all the answers

    What is the key principle behind the head-to-tail method of adding vectors?

    <p>The resultant vector is drawn from the tail of the first vector to the head of the last vector.</p> Signup and view all the answers

    What is the consequence of adding vectors in two dimensions?

    <p>The resultant vector represents the combined effect of multiple vectors.</p> Signup and view all the answers

    Which of the following statements is true about the tail-to-tail method?

    <p>It is a graphical method that can be used for any number of vectors.</p> Signup and view all the answers

    What is the primary purpose of specifying the direction of a vector?

    <p>To ensure accurate representation and calculation of the vector.</p> Signup and view all the answers

    Why are vectors that are perpendicular crucial in understanding vector addition?

    <p>They simplify calculations of resultant vectors.</p> Signup and view all the answers

    What is the significance of a closed vector diagram?

    <p>It indicates that the resultant vector has a magnitude of zero.</p> Signup and view all the answers

    What is the limitation of using Pythagoras' theorem to find the magnitude of the resultant vector?

    <p>It can only be used for perpendicular vectors.</p> Signup and view all the answers

    What is the advantage of using the head-to-tail method over the tail-to-tail method?

    <p>There is no advantage, both methods are equivalent.</p> Signup and view all the answers

    What is the relationship between the resultant vector and the individual vectors in a closed vector diagram?

    <p>The resultant vector has a magnitude of zero.</p> Signup and view all the answers

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