Components of Vectors: Magnitude and Angle
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Questions and Answers

What is the formula to find the magnitude of a vector?

  • A = Ax^2 + Ay^2
  • A = √(Ax)^2 + (Ay)^2 (correct)
  • A = √(Ax + Ay)^2
  • A = Ax + Ay

    • What is the angle of the vector measured from?

  • The origin
  • The +y-axis
  • The -x-axis
  • The +x-axis (correct)

    • What is the formula to find the angle of a vector?

  • θ = cot^-1 (Ax/Ay)
  • θ = sin^-1 (Ay/Ax)
  • θ = tan^-1 (Ay/Ax) (correct)
  • θ = cos^-1 (Ax/Ay)

    • What is the x-component of the vector?

    <p>Ax = A cos(θ) (D)</p> Signup and view all the answers

    What is the y-component of the vector?

    <p>Ay = A sin(θ) (D)</p> Signup and view all the answers

    Which of the following is true about the magnitude of a vector?

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

    What is the direction of the force exerted by Ivan on the blocking sled?

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

    What is the magnitude of the force exerted by Eugene on the blocking sled?

    <p>270 N (D)</p> Signup and view all the answers

    What is the result of combining the forces exerted by Ivan and Eugene on the blocking sled?

    <p>A force of 440 N, southeast (D)</p> Signup and view all the answers

    Which of the following quantities has both magnitude and direction?

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

    What is the measure of the amount of matter in an object?

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

    Which of the following is an example of a scalar quantity?

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

    What is the formula to find the total resultant displacement?

    <p>A = √(Ax)² + (Ay)² (A)</p> Signup and view all the answers

    If Ax = 31 m and θ = 37°, what is the value of Ay?

    <p>18.66 m (D)</p> Signup and view all the answers

    What is the angle θ measured from?

    <p>The x-axis (B)</p> Signup and view all the answers

    If a vector has a magnitude of 58.80 m, what is the formula to find its x-component?

    <p>Ax = A cos(θ) (C)</p> Signup and view all the answers

    What is the value of Ax when A = 3 cm and θ = 40°?

    <p>2.30 cm (B)</p> Signup and view all the answers

    What is the purpose of finding the vector components Ax and Ay?

    <p>To split the vector into two perpendicular components (D)</p> Signup and view all the answers

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