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Today:
It turns out that we could see the solution very easily; calculating the force vectors was a little more complicated.
Now let's think a little more about how we resolve the vector forces into components: we'll find it convenient to define a product of two vectors as follows:
(how would you define this for vectors in two-space?). It's just component-wise multiplication, and we add up the results.
examples:
It turns out that
where
Otherwise, the angle is acute. |
examples:
Finally then, we can put it all together to get this: