Gr 11 Physical Sciences: Ch 1.1 Resultant of perpendicular vectors

Choose a study mode

Play Quiz
Study Flashcards
Spaced Repetition
Chat to Lesson

Podcast

Play an AI-generated podcast conversation about this lesson
Download our mobile app to listen on the go
Get App

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

More Like This

Use Quizgecko on...
Browser
Open
Browser
Browser