Vectors and Quadrilaterals is a part of the VCE Specialist Maths topic Vectors and subtopic Vector Proofs. In this post, we look how vectors can be used to prove situations involving quadrilaterals. Some of these include:
- proving sides of the quadrilateral are equal
- showing that the magnitude of vectors are equal on a quadrilateral with equal sides
- showing the vectors are parallel on parallel sides
Some Vector Proofs…
The following video looks at how to prove that the midpoints of a quadrilateral form a parallelogram.
Watch this next video to learn how to prove that the diagonals of a rhombus intersect at right angles.
Want to learn more? Check out more of our VCE Mathematics resources here!