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Vector Difference Visualization

Vector Difference Visualization
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2015-06-16 04:08
VectorCoordinate GeometryGeometric Construction
In collections CCSS Honors Math II Topic 2
This example demonstrates the geometric representation of vector subtraction. Key mathematical concepts include vectors and their operations. Using GeoGebra commands such as Segment, Vector, and TableText, the geometric meaning of vectors and the process of calculating vector differences are illustrated. Suitable for high school mathematics lessons on vectors.

GeoGebra Commands & Parameters

  1. Segment(nNegT + (0, (-0.5)), mT + (0, (-0.5))) → b1
  2. Segment(P0 - (0.5, 0), nNegT - (0.5, 0)) → a1
  3. Segment(P0, SumCorner) → a
  4. Segment(SumCorner, vsT) → b
  5. Vector(nNegT, vsT) → mM
  6. Vector(mT, vsT) → nM
  7. Vector(((ShiftFactor * m1), (ShiftFactor * m2)), ((ShiftFactor * m1), (ShiftFactor * m2)) - (n1, n2)) → n1moved
  8. TableText({{Formula2a, "\textsf{Write the vectors being subtracted in component form.}"}, {Formula2b, "\textsf{Component-wise subtraction formula}"}, {Formula2c, "\textsf{Substitute.}"}, {Formula2d, " \textsf{Simplify.}"}}, "l") → work5