Vector Functions
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What is vector funcitons
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where a function is made up from compenent functions
- IE r(t)=<f(t),g(t),h(t)>⟹f(t)i+g(t)j+h(t)k
- its a path in space that is traced in a specific direction as t increases
Space Curves
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What is a Space Curve
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A closed connection between continous vector functions
- supposee that f,g,h are continuous real-valued functions on the interval I then set the C of all points (x,y,z) in space, where
- x=f(t), y=g(t) z=h(t)
- this equation is called the “parametric equations of C” and t is the parameter
- We can think of C as being traced out by moving a partical along t and the functions are the path it takes
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Sketching curves
Intersections of vectors