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

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The Answer of 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

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

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