Physics: Scalars and Vectors
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Questions and Answers

What is a scalar in physics?

  • A physical quantity with only a direction
  • A physical quantity with neither magnitude nor direction
  • A physical quantity with only a magnitude (correct)
  • A physical quantity with both magnitude and direction

What is the direction of a vector from North Carolina to California?

  • East
  • North
  • West (correct)
  • South

Which of the following is an example of a vector?

  • Temperature
  • Displacement (correct)
  • Mass
  • Volume

What is the symbol used to represent a vector?

<p>A single capital letter with an arrow above it (D)</p> Signup and view all the answers

What are two vectors called if they have the same direction and magnitude?

<p>Equal vectors (D)</p> Signup and view all the answers

What are two vectors called if they are in opposite directions?

<p>Anti-parallel vectors (D)</p> Signup and view all the answers

What are two or more vectors called if they have a common initial point?

<p>Co-initial vectors (D)</p> Signup and view all the answers

What is the magnitude of a vector from USA to China?

<p>11600 km (B)</p> Signup and view all the answers

What is the magnitude of a vector A when its x and y components are given?

<p>A = √(Ax² + Ay²) (C)</p> Signup and view all the answers

If a force F is applied to an object and it is displaced by a distance s, what is the work done?

<p>W = Fs cosθ (A)</p> Signup and view all the answers

What is the direction of a vector A when its x and y components are given?

<p>θ = tan⁻¹(Ay/Ax) (D)</p> Signup and view all the answers

What is the scalar product of two vectors A and B?

<p>A ∙ B = AB cosθ (C)</p> Signup and view all the answers

What is the effect of multiplying a vector by a scalar?

<p>It changes the magnitude of the vector (D)</p> Signup and view all the answers

What is the geometrical meaning of scalar dot product?

<p>Product of magnitude of one vector and component of another vector (D)</p> Signup and view all the answers

What is the power of an object when force and velocity are given?

<p>P = Fv cosθ (C)</p> Signup and view all the answers

What is the property of scalar product?

<p>It is commutative (D)</p> Signup and view all the answers

What is the scalar product of two perpendicular vectors?

<p>0 (C)</p> Signup and view all the answers

What is the direction of the vector product A × B?

<p>Perpendicular to both A and B (A)</p> Signup and view all the answers

What is the scalar product of two parallel vectors?

<p>AB cos 0 ° (B)</p> Signup and view all the answers

What is the physical quantity that can be calculated using the vector product r × F?

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

What is the geometric meaning of the vector product A × B?

<p>The area of the parallelogram made by A and B (A)</p> Signup and view all the answers

Is the scalar product A ∙ B equal to B ∙ A?

<p>Yes, always (C)</p> Signup and view all the answers

What is the property of the vector product that makes it distributive over addition?

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

What is the vector product of a vector with itself?

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

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