1. How are dot products useful? 2. Write expressions for the scalar and vector projections of b onto a . Illustrate with diagrams. 3. How do you find the cross product  of two vectors if you know...

1. How are dot products useful? 2. Write expressions for the scalar and vector projections of
b
onto
a. Illustrate with diagrams. 3. How do you find the cross product  of two vectors if you know their lengths and the angle between them? What if you know their components?