MATH136 Lecture Notes - Lecture 7: Row And Column Vectors, Cartesian Coordinate System, Scalar Multiplication

• School: University of Waterloo
• Department: Mathematics
• Course: MATH136
• Professor: Robert Andre

Document Summary

Monday, may 1 lecture 1 : vectors in n. (refers to sections 1. 1, 1. 2: vectors in n , in 2 and 3. Concepts: scalars, coordinates, components, addition and scalar multiplication of vectors, linear combinations of vectors, collinear vectors, line, its vector equation, direction vector of a line. 1. 1 vectors the elements, x = (x1, x2), of the cartesian plane 2 are familiar and usually referred to as ordered pairs, or coordinates of the plane. In this course we will begin referring to these as members of a larger family of mathematical objects called vectors. Observe how we represent vectors by either a letter in boldface or an italics letter and x5 are real numbers. with an arrow on top, while scalars are simply expressed in italics. For simplicity of type setting i will use boldface. x2, , xn) is an n-tuple of real numbers and we call x a vector.