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MAT240H1 Lecture 5: 240AlgebraI-140922_Hour_7-_Geometry_of_the_Complex_Numbers,_vector_spaces.pdf

Canada

Algebra I

Mathematics

Dror Bar- Natan

University of Toronto St. George

What is the main difference between Euclidean and non-Euclidean geometry?
a. Non-Euclidean geometry only deals with straight lines, which Euclidean geometry is the study of triangles.
b. Non-Euclidean geometry assumes that the surface is flat, while Euclidean geometry studies curved surfaces.
c. Euclidean geometry assumes that the surface is flat, while non-Euclidean geometry studies curved surfaces.
d. Euclidean geometry only deals with straight lines, while non-Euclidean geometry is the study of triangles.

Complex Numbers A complex number is given. Graph the complex number in the complex plane.<img src="data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAACQAAAAKBAMAAAAuiOHtAAAACXBIWXMAAABkAAAAZAAPlsXdAAAAKlBMVEVHcEwAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAHrpZrAAAADXRSTlMAiLsiVUTMZhEz5qR36vhC9wAAAGdJREFUCNdjYGBIYECABAZOIJcdLMQNFoGwGUwVQCQTEpvBAUnIQYHj9AQGlgaEEJDNzh3AYMkAFDIUlBKUYQCxOboYGAoFFwbAVIHYhSDGBYRZQHayA1DTRbgqEFvFAeZGJhiDmQEAl5AQ+pHc/UcAAAAASUVORK5CYII=" class="fm-editor-equation" data-mlang="latex" data-equation="4%2B4i">

Complex Numbers A complex number is given. Graph the complex number in the complex plane.<img src="data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAB0AAAAKBAMAAAC6bkgfAAAACXBIWXMAAABkAAAAZAAPlsXdAAAAKlBMVEVHcEwAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAHrpZrAAAADXRSTlMAiLtEZswzVRF34iKiOaQVqwAAAFtJREFUCNdjYACDlAUM7JPFGNgCGKDgAgMrQxcDAlxgMGJgTUDmCzEwWcxJQOGb8BgwsAgKCgrD5LuQ1BcB9Tsi8VsZuBiiC6Bcx4sOLBOmM6gXIFm5eQMDNwMAXFgSwae05Z8AAAAASUVORK5CYII=" class="fm-editor-equation" data-mlang="latex" data-equation="-10i">

MAT240H1 Lecture 5: 240AlgebraI-140922_Hour_7-_Geometry_of_the_Complex_Numbers,_vector_spaces.pdf

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