MATH 2114 Lecture Notes - Lecture 1: Simple Algebra, Row And Column Vectors, Webassign

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A vector is a directed line segment that corresponds to a displacement from one point to another. A vector from point a to point b can be denoted by (cid:1827)(cid:1828) . Sketch vector (cid:1827)(cid:1828) , where a = (1,1) and b = (2,3): represents the terminal point of the vector: the first point, (cid:862)a(cid:863), represents the initial point of the vector and the second point, (cid:862)b(cid:863), A vector can also be donated in text by a single boldface, lower case letter such as w. Note that this vector does not start at the origin of the graph as this is not required. A vector that has an initial point on an origin is said to be in standard position. A vector in standard position is denoted by a column or row vector that has the following forms: Sketch the vectors v = [(cid:883)(cid:884)] and w = [(cid:883) (cid:883)] in standard position:

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