Vectors, Bearings and Grid References

Read and state three-figure bearings from a diagram, plot points using grid references, and write a simple displacement as a column/component vector.

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Learning objective overview

Master Teaching Guide coverage for this objective.

Current NZC (2007)
  • GM5-8
  • GM4-7
New NZC (2026)
  • NZC26-P4-ALG-ER-P-Y9-10

Resources

Terminology

  • Three-figure bearing
  • Vector
  • Column vector
  • Displacement
  • Resultant vector
  • Grid reference

Task goals

  • Read and state three-figure bearings from a diagram, plot points using grid references, and write a simple displacement as a column or component vector.
  • Use trigonometric ratios and Pythagoras' theorem to calculate the distance and bearing between two points given as vector components or grid coordinates.
  • Solve multi-step navigation or surveying problems that combine vector addition, changes of bearing, and right-angled trigonometry to find a resultant position, distance or angle.

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Vectors, Bearings and Grid References

Vectors, Bearings and Grid References

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