Using the definitions in Eqs. 1.1 and 1.4, and appropriate diagrams, show that the dot p...

Using the definitions in Eqs. 1.1 and 1.4, and appropriate diagrams, show that the dot product and cross product are distributive,

a) when the three vectors are coplanar;

b) in the general case.

Reference equation 1.1

Dot product of two vectors. The dot product of two vectors is defined by

A · B ≡ AB cos θ,

Reference equation 1.4

Cross product of two vectors. The cross product of two vectors is defined by