By making simple sketches of the appropriate vector products, show that

(a) A • B can be interpreted as the product of the magnitude of A times the component of B along A, or the magnitude of B times the component of A along B;

(b) | A x B | can be interpreted as the product of the magnitude of A times the component of B perpendicular to A , or the magnitude of B times the component of A perpendicular to B.