Strictly use Geogebra to solve all the questions

Draft Module 0

  • Create two points A and B

  • Plot the vectors for the two points.

  • Plot the segment of A and B.

  • Find the distance between A and B.

  • Create a unit circle.

  • Find the intersection points of the vector A and vector B. Hint: Use Segment(), while finding intersection.

  • Find the dot product for these two new intersected vectors.

  • Try changing the angle and see how the dot product changes.

  • Explore the behavior of the quadratic function \(f(x)=x^2−4x+3\). Determine its vertex, axis of symmetry, and roots.

  • create an interection with y = 0 to find roots. vertex is already shown in geogebra.

  • Parametric equation- create a point with parametric function trace them and observe the patterns. Try understanding the function.