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For example:

Suppose vector $u = (-2,3)$ and

vector $v = (-5,3)$ then:

$(u + v = ?)$ and

$(u - v = ?)$ and

$(v - u = ?)$ and

$(6u = ?)$ and

$(-1/8v = ?)$ and

$(3u - 4v = ?)$

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    Please see the final paragraph in the faq under **How do I ask questions here?** "Accepting" an answer is the formal acceptance of the answer you find most helpful in response to your questions. It involves marking the check-mark next to that answer which you find most helpful/useful. You can only accept one answer per question, in case Apostolos reply did not make that clear. Also: "ad hominem" is not a synonym for "personal insult"; it's a very specific kind of rhetorical fallacy. As it happens, I did neither.2011-01-25

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You add vectors coordinate-wise (coordinate-to-coordinate: the first coordinate of the sum is the sum of the first coordinates of the summands; the second coordinate of the sum is the sum of the second coordinate of the summands, etc). You multiply vectors by scalars coordinate-wise as well (multiply each coordinate by the scalar). You do combinations of vector additions and scalar multiplications by performing the multiplications first and the additions later.

P.S. You are studying for Calculus III and you don't know how to do basic operations with vectors? I confess I find it very hard to believe that this is not contained in your textbook, or was not covered in lecture.

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    Thank you for the helpful response. If you want an explanation as to why I'm asking, I do not know how to do this operation yet because the class is beginning. It's what the quiz will be on. We missed the first classes due to weather, as snow is a big deal in my location. I have learned much more on this site or by speaking in person with students and professors in the regards of Mathematics than any textbook. The internet is a great place to learn.2011-01-25
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This is the most I'll give - http://en.wikipedia.org/wiki/Vector_(geometric)#Vector_addition_and_subtraction - I feel like this question is too homework-y.

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    It is homework-esque, I'm doing practice problems for a quiz. It's entirely new material. The answers I'm getting don't seem to be correct.2011-01-25