Day 3_Part_1 - = = 2 1 1 1 1 q p v 1 x 1 y 1 o { } 1 = 2 5...

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Day 03 Spatial Descriptions 1/9/2012 1
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Points and Vectors 1/9/2012 2 point : a location in space vector : magnitude (length) and direction between two points p q v
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Coordinate Frames 1/9/2012 3 choosing a frame (a point and two perpendicular vectors of unit length) allows us to assign coordinates 0 p 0 q = = 1 2 0 0 0 q p v 0 ˆ x 0 ˆ y 0 o { } 0 = 5 . 1 2 0 q = 5 . 2 4 0 p
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Coordinate Frames 1/9/2012 4 the coordinates change depending on the choice of frame 1 p 1 q
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Unformatted text preview: = = 2 1 1 1 1 q p v 1 x 1 y 1 o { } 1 = 2 5 . 1 q = 4 5 . 1 p Dot Product 1/9/2012 5 the dot product of two vectors = n u u u u 2 1 = n v v v v 2 1 v u v u v u v u v u T n n = + + + = 2 2 1 1 u v cos u cos v u v u =...
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Day 3_Part_1 - = = 2 1 1 1 1 q p v 1 x 1 y 1 o { } 1 = 2 5...

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