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Linearly Independent Vectors Define a Plane

Linearly Independent Vectors Define a Plane
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2017-01-20 05:05
VectorCoordinate GeometrySolid Geometry
This example demonstrates how two linearly independent vectors define a plane. It involves core math concepts like linear independence, vector space, and plane equations. Constructed using GeoGebra objects a, b, c, B, A, text1, text2, text3, text4 to visualize vectors and their defined plane. Suitable for high school students and learners of spatial geometry.

GeoGebra Commands & Parameters

  1. Numeric a(0.6)
  2. Numeric b(-0.15)
  3. (3 * x) + (2 * y) + (4 * z) - 12 = 0
  4. (0, 0, 3)
  5. (0 + (-2 * a) - (4 * b), 0 + (3 * a) + (0 * b), 3 + (0 * a) + (3 * b))