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Sample Problem and Solution
A sample cross product problem for you to try.
Given u = i  2j + k and v = 3i + j  2k, find each of the following.
a. u × v
b. v × u
c. v × v

Solution
a. u × v = (4  1)i  (2  3)j + (1 + 6)k = 3i + 5j + 7k
b. v × u = (1  4)i  (3 + 2)j + (6  1)k = 3i  5j  7k
c. v × v = (3  3)i  (1  1)j + (2 + 2>k = 0
Notice the properties at work!

Where to from here?
