Understanding scalar and vector quantities

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Malaysia SPM Form 4, Chapter 1: Introduction to Physics
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[edit] Scalar Quantity

  • Scalars are quantities which are fully described by a magnitude alone.
  • Magnitude is the numerical value of a quantity.
  • Examples of scalar quantities are distance, speed, mass, volume, temperature, density and energy.



[edit] Vector Quantity

  • Vectors are quantities which are fully described by both a magnitude and a direction.
  • Examples of vector quantities are displacement, velocity, acceleration, force, momentum, and magnetic field.
Example 1
Example 1

Categorize each quantity below as being either a vector or a scalar.

Speed, velocity, acceleration, distance, displacement, energy, electrical charge, density, volume, length, momentum, time, temperature, force, mass, power, work, impulse.

Answer:
Scalar Quantities:

  • speed
  • distance
  • energy
  • electrical charge
  • density
  • volume
  • length
  • time
  • temperature
  • mass
  • power
  • work

Vector Quantities:

  • velocity
  • acceleration
  • displacement
  • momentum
  • force
  • impulse

[edit] Vector Diagram

  • A vector quantity can be represented by a line with arrow.
  • The length of the line represents the magnitude of the vector and the direction of the arrow show the direction of the vector.
  • The following diagram shows vector diagram and the tip (head) and tail of the vector.


[edit] Symbol of Vector

  • The diagram above shows an example of a vector diagram. The vector can be written as

a) b) c) p

  • The magnitude of the vector is written as or .

Example 1 Categorize each quantity below as being either a vector or a scalar.

Speed, velocity, acceleration, distance, force, displacement, energy, electrical charge, density, volume.

[edit] Frequenly Asked Question

[edit] Additional notes

[Additional notes content information relates to this topic but may not be in the SPM syllabus]


[edit] External Links

Image:link.gif Webphysics

Zona Land
Uni. Guelph
Physchem

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