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Unit Vector: Hat j

Unit Vector: Hat j
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2017-04-15 09:07
VectorCoordinate GeometryGeometric Construction
This example demonstrates the geometric representation of the unit vector hat j, which is a unit vector perpendicular to the x-axis and points in the positive y-axis direction. The example involves basic vector concepts. Using GeoGebra commands Intersect, Point, and Vector, the unit vector hat j is constructed. Suitable for high school mathematics education to help students understand the basic properties of vectors.

GeoGebra Commands & Parameters

  1. Intersect(xAxis, yAxis) → A
  2. Point(yAxis) → B
  3. Vector(A, B) → u

AI Drawing Prompt Reference

Draw a Cartesian coordinate system with x-axis and y-axis. Mark the origin at the intersection of the two axes. Choose a point on the positive y-axis. Construct a directed line segment (vector) from the origin to that point. This vector should be perpendicular to the x-axis, pointing upward along the y-axis, with a length of 1 unit, representing the unit vector. Clearly show the axes, origin, vector arrow, and its start and end points, and label it as a unit vector.
The prompt above was compiled from the original drawing commands and is for reference only.