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Unformatted text preview: point P in P can be expressed uniquely as a linear combination of −→ v and −→ w . We leave it to you to complete the details (see Exercise 4 in § 1.2 ). Remark 1.5.3. If −→ v and −→ w are linearly independent vectors in R 3 , then the set of all linear combinations of −→ v and −→ w P ( −→ v , −→ w ) := { s −→ v + t −→ w  s,t ∈ R } is the set of position vectors for points in the plane (through the origin) determined by −→ v and −→ w , called the span of −→ v and −→ w ....
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This note was uploaded on 10/20/2011 for the course MAC 2311 taught by Professor All during the Fall '08 term at University of Florida.
 Fall '08
 ALL
 Calculus, Vectors

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