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Components, Magnitude and Angle of a Vector

Components, Magnitude and Angle of a Vector
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2015-11-25 05:29
VectorTrigonometryCoordinate Geometry
In collections Vector Mechanics & Statics
This example demonstrates the concepts of vector components, magnitude, and angle, along with their conversion equations. Using GeoGebra commands such as Intersect, Vector, Point, etc., it provides a clear understanding of vector basics. Suitable for high school mathematics education and learning.

GeoGebra Commands & Parameters

  1. Intersect(xAxis, yAxis) → O
  2. Vector(O, A) → u
  3. Point(xAxis) → B
  4. Ray(O, B) → a
  5. Angle(B, O, A) → θ
  6. Length(u) → mag
  7. Vector(O, y_A) → v
  8. Vector(O, x_A) → w
  9. Segment(x_A, A) → b
  10. Segment(y_A, A) → c
  11. If(yValue > 0, (atan2(yValue, xValue) * 180 / pi), (atan2(yValue, xValue) * 180 / pi) + 360) → at