One-time payment

Scalar (dot) product of two vectors and its properties.

Vector (cross) product of two vectors and its properties.

Scalar triple product of three vectors and its properties.

Vector triple product of three vectors and its properties.

Solutions of vector equations with unknown vectors; solutions of vector equations with unknown scalars.

Direction vector and vector equation of a straight line,; angle between two straight lines; intersecting lines, parallel lines and skew lines; shortest distance between two skew lines.

Vector equations of a plane; normal vector of a plane; parallel planes and the distance between them; angle between two planes; angle between a line and a plane.

Vector equations of a circle in x-y plane, a circle in space; non-parametric vector and standard forms; equation of the plane containing a circle.

Parametric and non-parametric vector equations of an ellipse.

Parametric and non-parametric vector equations of a parabola.

Parametric and non-parametric vector equations of a hyperbola.