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A basic introduction to coordinate systems in three dimensions. It covers the concept of coordinate axes, coordinate planes, and the distance formula in 3d space. The document also includes examples of how to represent surfaces in 3d space using equations. It is suitable for students who are new to the concept of 3d coordinate systems and need a basic understanding of the topic.
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WEEK (^4) LECTURE (^1)
word EEm y farad Rage el a coordinate (^) axes y
axes X^ axis nZ I 1 Htt FE t.az WEaa CT x floor coordinate planes Xy^ plane xy I^ Ee Pca b Iz (^) cord xlaoid.ly (^) cooed
y Distance between^ two^ points in^3 dim^ coord^ system 379 PCq bi g (^) PzCaz (^) ez notation 11PaPall a^ distance^ between^ Pa and (^) Pz tee Remember in^2 dimensions Pecane^ Blazeee q f^ e HP^ Pak (^) VCaz 95 t^ s^95 Example What^ surfaces in^ 1123 are represented (^) by the following equations e z^5 2 x y 3 Z^ e^ X Z 4 x't^ ya g
y E (^16)
g
2 a^ XZ AZ (^) in (^2) dimensions
x4y2 g^ Play z satisfying the constraint x2ty 9 2 n (^) in 2 dimensions
Cx 05 4 05 (^2 0 )
zoj
I PK
E and^ 06, T Answer sphere of^
Next time^ what^ surface in^ 1123 is (^) represented by
equation (^2) Ft y