Unformatted text preview: itself). C. A needle of length 1 is spinning through the air. Let L x,y ( t ) be the length of its projection on the x, y plane at time t ; let L x,z ( t ) be the length of its projection on the x, z plane at time t ; and let L y,z ( t ) be the length of its projection on the y, z plane at time t . Show that regardless of the fashion in which the needle is spinning, [ L x,y ( t )] 2 + [ L x,z ( t )] 2 + [ L y,z ( t )] 2 stays constant as t varies. Please don’t forget to write down who you worked on the assignment with (if nobody, then write “I worked alone”), and record how much time you spent on each problem (this doesn’t need to be exact) on the timesheets I gave out in class....
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 Fall '11
 Staff
 Math, Line segment

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