Vector Operations

This lab covers commands useful in dealing with vectors. It uses the following commands

vector, dotprod, crossprod, evalm, map, int, diff

If you are not familiar with any of these commands please use Maple's help command to learn their syntax and see some examples. Also see the Maple tutorial distributed in class.

Please submit your work as a Maple report. If you have never prepared a Maple report please see the Maple tutorial for instructions. Be sure to load the Linear Algebra package in Maple with the command with(linalg): before starting your work.

1. Take , , . Verify that
   
   
2. Compute the curvature of the spiral curve
   
   using the two different formulas for curvature. Verify that your answers agree.
3. Compute the length of the segment of the above spiral curve determined by the interval .

 
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