HYSIO
for any vector A. (Here is the zero vector, with magnitude 0.)
Problem 1.1 Using the definitions in Eqs. 1.1 and 1.4, and appropriate diagran
show that the dot product and cross product are distributive,
a) when the three vectors are coplanar,
b) in the general case.
Problem 1.2 is the cross product associative?
(A < B) x = A x (B x C).
If so, prove it; if not, provide a counterexample (the simpler the better).
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