Mathematics 1229A/B Lecture : unit01.pdf
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MATH 1229A/B Full Course Notes
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Vectors (text reference: section 1. 1) c(cid:13)v. olds 2010. You are familiar with the set of real numbers. Real numbers means all the numbers you"ve ever heard of or can imagine (unless you"ve learnt about, or at least heard of, imaginary numbers. Real numbers includes all the integers (including both positive and negative, and of course 0), fractions (called rational numbers), decimals that can"t be expressed as fractions (the irrational numbers). All the numbers along the real number line from to . We call the set of real numbers . There"s the x-axis (horizontal) and the y-axis (vertical), which cross at the origin. Each axis is basically a real number line. Any point in this plane can be expressed as an ordered pair, (x, y), giving its x-coordinate and its y-coordinate. We call the x-y plane 2-space and the set containing all of the points in this plane is called 2. (we pronounce that r2 , i. e. artoo . )