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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
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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!
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Where to from here?
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