MATA23H3 Lecture : Vectors, projection
Document Summary
If n is a positive integer, the euclidean n-space, rn, is the collection of. There are two types of n-tuples in rn : (a1, a2, , an) The zero vector in rn is the vector containing zeroes in all of its components: 0= [0, 0, , 0]. A vector of the same length and direction as a, is the vector a translated to another position in rn. For this reason it is also called a. Definition: parallel vectors we say that two nonzero vectors v and w are parallel and we denote it by vkw, if v = rw for some real number r. 0 < r < 1 r > 1. 1 < r < 0 r < 1 www. notesolution. com. For all v. u, w rn and all r, s, r, A1. v + (u + w) = (v + u) + w (associativity of addition), A2. v + u = u + v (commutativity of addition),
