Vectors & Coordinate Geometry

7 interactive Mathematics simulations on vectors & coordinate geometry.

Mathematics · Vectors & Coordinate Geometry Conic sections by eccentricity With the same focus and directrix, only the eccentricity e changes: e < 1 gives an ellipse, e = 1 a parabola, e > 1 a hyperbola. The... Ages 15–16
Mathematics · Vectors & Coordinate Geometry Conic sections – the reflective property (satellite dish, whispering gallery, telescope) Rays of light hit a mirror shaped like a conic section and you watch where they go after reflecting: rays parallel to the axis of a... Ages 15–16
Mathematics · Vectors & Coordinate Geometry Lines and circles in the coordinate plane Line Δ: ax + by + c = 0 has normal vector n = (a; b) and direction vector u = (−b; a) drawn right on the figure; circle (C) has center I... Ages 15–16
Mathematics · Vectors & Coordinate Geometry Planes and spheres in 3D space – distance from center to plane In a rotatable Oxyz coordinate system, the plane (P): Ax + By + Cz + D = 0 and a sphere with center I and radius R are drawn together... Ages 17–18
Mathematics · Vectors & Coordinate Geometry Geometric Transformations and Composition Drag the F-shape and the elements of each transformation (translation vector, center of rotation, line of reflection, center of... Ages 16–17
Mathematics · Vectors & Coordinate Geometry Vectors – sum, difference, scalar multiple and dot product Two vectors u, v are drawn from the origin O on a coordinate grid; students drag the tips of u and v (snapped to the grid) and pick an... Ages 15–16
Mathematics · Vectors & Coordinate Geometry Vectors in 3D space – sum, dot product, angle An Oxyz coordinate system rotates with the mouse or a finger, showing two vectors u and v with given coordinates. The simulation draws... Ages 17–18