Mathematics 1229A/B Lecture Notes - Scalar Multiplication, Unit Vector, Ofu-Olosega

• School: Western University
• Department: Mathematics
• Course: Mathematics 1229A/B
• Professor: Prof

Document Summary

Vectors in m (text reference: section 2. 1) c(cid:13)v. olds 2010. We"ve learnt about 2 and 3, which you"ve seen before. Now, we"re going to extend some of the same ideas to spaces with more than 3 dimensions. We refer to m-dimensional space as m or m-space. But , you"re saying to yourself, how can you have more than 3 dimensions? . Well, for starters, time is often referred to as the fourth dimension of physical space. The world we live in has depth, breadth and height, and also time. Where you"re sitting right this minute is a particular location that could be described by x-, y- and z-coordinates. But you"re in that location at this particular instant. So time is another axis along which space can be measured. Well, for higher dimensions, it"s just much easier if you don"t try to relate it to physical space.