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

Multiple Choice

Two insects are crawling along different lines in three-space. At time t (in minutes) , the first insect is at the point $( x , y , z )$ where $x = 4 + t , y = 5 - t , z = 5 + t$ . Also, at time $t$ , the second insect is at the point $( x , y , z )$ where $x = 4 + t , y = 1 + t , z = 5 t$ . Assume distances are given in inches. How close do the insects get? Round your answer to two decimal places.

A) $2.40$ inches
B) $3.71$ inches
C) $1.34$ inches
D) $4.91$ inches
E) $6.23$ inches