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Interactive resource

Plane vector operations

Geometry. Vector addition (parallelogram rule) and scalar multiplication. Free interactive GeoGebra resource — adjust parameters in the browser.

  • Vectors
  • High school

Overview

Vector addition (parallelogram rule) and scalar multiplication.

Explanation

A plane vector has magnitude and direction.
Addition: parallelogram or tip-to-tail — a + b ends where the chain ends.
Scalar: |ka| = |k|·|a|; k > 0 same direction, k < 0 opposite.

How to use

Drag tips of a and b; adjust scalar k for ka.

Knowledge points

  • Vectors
  • High school