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Unformatted text preview: whether two vectors point in parallel directions. Given (nonzero 5 ) vectors −→ v and −→ w , the respective unit vectors in the same direction are −→ u −→ v = 1  −→ v  −→ v −→ u −→ w = 1  −→ w  −→ w. The two vectors −→ v and −→ w point in the same direction precisely if the two unit vectors are equal −→ u −→ v = −→ u −→ w = −→ u or −→ v =  −→ v  −→ u −→ w =  −→ w  −→ u . This can also be expressed as −→ v = λ −→ w −→ w = 1 λ −→ v 5 A vector is nonzero if it is not equal to the zero vector. Thus, some of its entries can be zero, but not all of them....
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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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