MATH115 Lecture 1: lect115_1_f14
10 Oct 2015
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Monday, september 8 lecture 1 : vectors in 2 and 3. (refers to section 1. 1 in: define vectors in n and in particular in 2 and 3. 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: define scalars, coordinates, components. 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 a letter in boldface, while scalars are simply expressed in italics. and x5 are real numbers. n-tuple of real numbers and we call x a vector. The xi"s are called the entries, coordinates or components of the vector. To distinguish vectors from scalars, we represent vectors in boldface. 1. 1. 1 definition let n = {(x1, x2, , xn) : x1, x2, , xn }.
