You may also like

problem icon

Flexi Quads

A quadrilateral changes shape with the edge lengths constant. Show the scalar product of the diagonals is constant. If the diagonals are perpendicular in one position are they always perpendicular?

problem icon

Flexi Quad Tan

As a quadrilateral Q is deformed (keeping the edge lengths constnt) the diagonals and the angle X between them change. Prove that the area of Q is proportional to tanX.

problem icon

Multiplication of Vectors

An account of multiplication of vectors, both scalar products and vector products.

Air Routes

Stage: 5 Challenge Level: Challenge Level:2 Challenge Level:2
The question asks for the use of 3D coordinates and scalar products in a very practical context.