06-240/Classnotes For Thursday, September 21
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A force has a direction and a magnitude.
- There is a special force vector called 0.
- They can be added.
- They can be multiplied by any scalar.
(convention: are vectors; are scalars)
Let F be a field "of scalars". A vector space over F is a set V, of "vectors", along with two operations
Ex.3. form a vector space over .
Ex.5. is a vector space over .