Trivium
- Calculate and sketch any linear combination of two vectors.
- Given two vectors in space, calculate the measure of the angle formed between them.
- Given two vectors in space, calculate the vector that results from projecting one onto the other.
- Given two vectors in space, calculate a vector that is normal to both of them.
- Given the rectangular coordinates of two points in space, calculate the distance between them and their midpoint.
- Given the rectangular coordinates of two points in space, determine a parameterization of the line that contains those points.
- Given a line in space and a point not on that line, compute the distance from the point to that line.
- Given a plane in space and a point not on that plane, compute the distance from the point to that plane.
- Given two non-intersecting lines in space compute the closest distance between them.
- Given a plane in space and a line not parallel to that plane, determine the point at which the line intersects that plane.
- Given three non-colinear points in space determine an equation for the plane that contains those points.
- Given two non-parallel planes in space, determine a parameterization of the line along which they intersect.
Problems
- TK