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August 1, 2015

Homework Help: Math: Vectors

Posted by Anonymous on Sunday, February 24, 2008 at 6:41pm.

I forgot how to do the following, so I'm not sure if they're correct or not:

Find the work done by a force "F" that causes a displacement "d".

i and j = unit vectors

a)
F = 4i + j
d = 3i + 10j

W = (4i + j)(3i + 10j)
W = 12|i|^2 + 40ij + 3ij + 10|j|^2
W = 12(1) + 40(0) + 3(0) + 10(1)
W = 22




b)
F = 2i
d = 5i + 6j

W = (2i)(5i + 6j)
W = 10|i|^2 + 12ij
W = 10(1) + 12(0)
W = 10

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