MTH 240 Chapter 11: VectorValue
15 Mar 2016
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Document Summary
When mapping real numbers onto vectors you get vector-valued functions. It is just a three- dimensional plane curve with the following equation: tg k th j i t t r f. To obtain the domain of the vector, combine the domains of f(t), g(t), and h(t). 1: find the domain of each component. Domain of f(t) = 2 cos t: (- , ) Domain of g(t) = 2 sin t: (- , ) Domain of h(t)= 1/(t+1): t -1: combine the domains of the components in step 1 together. To sketch the graph of the vector, just pick values for t and plug into the i, j, and, k components of the vector to get x, y, and z values. Sketch the graph of the vector-valued function r t t i t. 4: make a table of values to get components of the vector. t. 2: sketch the graph using the values from step 1 above. z y x.
