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
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