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Two Insects Are Crawling Along Different Lines in Three-Space (x,y,z)( x , y , z )

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Two insects are crawling along different lines in three-space. At time t (in minutes) , the first insect is at the point (x,y,z) ( x , y , z ) where x=7+t,y=3t,z=1+tx = 7 + t , y = 3 - t , z = 1 + t . Also, at time tt , the second insect is at the point (x,y,z) ( x , y , z ) where x=4+t,y=6+t,z=tx = 4 + t , y = 6 + t , z = t . Assume distances are given in inches. Find the distance between the two insects at time t=0t = 0 . Round your answer to two decimal places.

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