L14_blanks - Day 16 Lecture 14 Cartesian Graphs 0 2 STUFF I...

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1 Day 16 Lecture 14 Cartesian Graphs STUFF I WANT YOU TO KNOW You can ______________ to any point in the plane with two _____________ directions. It’s a lot nicer if those directions are _______________ since traveling in one of the two directions only affects the orthogonal _____________ onto that direction and not the other. 2 0
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2 STUFF I WANT YOU TO KNOW, part 2 The Standard directions for coordinatizing the plane are called _____, represent Up/Down or North/South , and _____, representing East/West or Left/Right . When Real Numbers Lines pointing in these directions are joined at the position ____ the result is the _____________ plane 3 0 Subtle Details Every point in the Cartesian Plane has a pair of Coordinates given by an _____________ pair, A point with coordinates (x, y) means one should start at ____ and travel ________ units along the _____ direction (x-axis) and travel ________ units along the _____ direction (y-axis) to reach the point. The point with coordinates (0, 0) is called the ___________. If we change where the Origin is, the coordinates of the point also change 4 3
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3 Subtle Details, part 2 The Cartesian Product of with , denoted , is the set of all ordered pairs with real numbers as their components. Any point in the plane is _____________ to an ordered pair in A point in the plane is not ____________ to an ordered pair in . Points are 0-dimensional objects with an exact location An ordered pair is an ordered list of two numbers. 5
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This note was uploaded on 07/23/2011 for the course MGF 1107 taught by Professor Staff during the Fall '08 term at University of Florida.

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L14_blanks - Day 16 Lecture 14 Cartesian Graphs 0 2 STUFF I...

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