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A few questions on vectors:

1. I was wondering if anyone could explain in conceptual terms what the dot product and cross products represent.

(I understand how these are calculated, but why are they important?)

2. Also, would it be accurate to describe a (m<4 x n<4) matrix as either a vector, point, line or plane? If not, what does a matrix represent in geometric terms?

3. What operation is used for vector multiplication that is unspecified (does not use a dot or a cross)?

4. Is there any difference in the top hat notation and the arrow notation for indicating vectors?

Thanks for the assistance!

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# Homework Help: Conceptual definitions of vector topics

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