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 $x = 7 + t , y = 3 - t , z = 1 + t$ . Also, at time $t$ , the second insect is at the point $( x , y , z )$ where $x = 4 + t , y = 6 + t , z = t$ . Assume distances are given in inches. Find the distance between the two insects at time $t = 0$ . Round your answer to two decimal places.

A) $6.00$ inches
B) $7.81$ inches
C) $9.27$ inches
D) $4.36$ inches
E) $18.00$ inches