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Nature of Quantities

Adding and resolving vectors

  • 3 things to know
  • All three papers

Overview

Recall questions on the vector triangle, finding a resultant, and resolving into perpendicular components.

What you need to know

Answer each one before you reveal it.

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Key term

What two properties define a vector quantity?

Key term

How is vector subtraction performed?

Key term

How can a vector triangle be used to find the resultant of two coplanar vectors?

Questions from this subtopic

Each one with the model answer underneath.

  1. 1

    What two properties define a vector quantity?

    Model answer

    A vector quantity has both magnitude and direction.

  2. 2

    Describe the head-to-tail method for adding vectors.

    Model answer

    Place vectors head-to-tail in sequence, then draw the resultant from the start of the first vector to the end of the last vector.

  3. 3

    How is vector subtraction performed?

    Model answer

    By adding the negative of the vector, which has the same magnitude but opposite direction.

  4. 4

    How can a vector triangle be used to find the resultant of two coplanar vectors?

    Model answer

    Draw the two vectors head-to-tail and complete the triangle; the resultant is the third side from the start of the first vector to the end of the second.

  5. 5

    How can a scale drawing be used to determine the resultant of two coplanar vectors?

    Model answer

    Draw the vectors to scale head-to-tail, then measure the length and angle of the resultant vector from the diagram.

  6. 6

    What mathematical methods can be used to calculate the resultant of two perpendicular vectors?

    Model answer

    Trigonometry and Pythagoras' theorem.

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Physical Quantities and Units
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A wave.
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AForce is a vector quantity.
BDistance is a scalar quantity.
CVelocity is a vector quantity.

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Density means mass per unit volume.
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