sn1_1 - Math 2433 Notes – Week 1 Welcome We will start at...

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Unformatted text preview: Math 2433 Notes – Week 1 Welcome! We will start at 9:30. We will start off by going over some of the information you will need for the class. Popper001 1. What is today? a. Monday b. Tuesday c. Wednesday d. Thursday e. Friday 12.1 Cartesian Space Coordinates x y z The coordinates are written ( x, y, z ). Plotting points: x y z Planes: Distance Formula: 2 2 2 1 2 2 1 2 1 2 1 ( , ) ( ) ( ) ( ) d P P x x y y z z =- +- +- Midpoint Formula: 1 2 1 2 1 2 , , 2 2 2 x x y y z z + + + Equation of a Sphere: ( ) ( ) ( ) 2 2 2 2 x a y b z c r- +- +- = Center: Radius: Examples: Popper 001 2. The points: A(2, -1, 3) and B(-4, 5, -1) are endpoints of a diameter of a sphere. The equation of the sphere is: a. ( ) ( ) ( ) 2 2 2 1 2 1 16 x y z- + + + + = b. ( ) ( ) ( ) 2 2 2 1 2 1 22 x y z + +- +- = c. 2 2 2 2 4 2 22 x y z x y z + + +-- = d. 2 2 2 2 4 2 16 x y z x y z + +- + + = e. None of these 12.3 Vectors A vector is an ordered triple (in space) where addition and multiplication by scalars holds:...
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sn1_1 - Math 2433 Notes – Week 1 Welcome We will start at...

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