Understand and use the vector and Cartesian forms of an equation of a straight line in 3-D.
Understand and use the vector and Cartesian forms of an equation of a straight line in 3-D.
Understand and use the vector and Cartesian forms of the equation of a plane.
Calculate the scalar product and use it to express the equation of a plane, and to calculate the angle between two lines, the angle between two planes and the angle between a line and a plane.
Check whether vectors are perpendicular by using the scalar product.
Find the intersection of a line and a plane.
Calculate the perpendicular distance between two lines, from a point to a line and from a point to a plane.