This preview shows page 1. Sign up to view the full content.
Unformatted text preview:  v  and  w  are both nonzero ( i.e. , v n = n = w ) then v w = 0 precisely when cos = 0, and this is the same as saying that v is perpendicular to w (denoted v  w ). But if either v or w is 0 , then clearly v w = 0 by either side of Equation ( 1.17 ). 3. This is just (1) when v = w , which in particular means = 0, or cos = 1. 4. This follows from Equation ( 1.15 ) by substitution: proj w v = p  v   w  cos P w =  v  w   w  2 cos w = p v w w w P w....
View
Full
Document
 Fall '08
 ALL
 Calculus, Vectors, Dot Product

Click to edit the document details