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

How can vectors be specified?

<p>Using either compass directions or bearings (D)</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 (A)</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 (B)</p> Signup and view all the answers

What is the characteristic of perpendicular vectors?

<p>They form a right angle (A)</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. (A)</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. (D)</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) (A)</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. (B)</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. (A)</p> Signup and view all the answers

What does the order of adding vectors not affect?

<p>The resultant vector. (D)</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 (D)</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 (A)</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 (B)</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) (A)</p> Signup and view all the answers

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

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

When are vectors considered perpendicular?

<p>When they form a right angle (C)</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 (A)</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 (B)</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 (B)</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 (A)</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 (B)</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 (B)</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 (B)</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. (C)</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. (B)</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. (A)</p> Signup and view all the answers

When can vectors be considered equal?

<p>When they have the same magnitude and direction. (B)</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. (A)</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. (A)</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. (A)</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. (B)</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. (B)</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. (C)</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. (B)</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. (A)</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. (C)</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. (B)</p> Signup and view all the answers

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