Why Even THINK of "Multiplying Vectors"? (For high-school teachers of Vector and Geometric Algebras)

For high-school teachers whose students are bewildered at the idea of "multiplying vectors".

LinkedIn group "Pre-University Geometric Algebra"
https://www.linkedin.com/groups/8278281/
The group is a space for the sharing and collaborative development of resources for teaching GA at the high-school level. More-advanced materials are welcome, especially if prepared with the additional intent of helping high-school students develop the abilities needed to understand and do such work themselves within a few years.