A bee is flying along the path ${}_1(t)=($:$-1+t,t^2,t^3-t$:$),$ with $t$ measure in seconds starting at

$t=0.$ At the same initial moment, a pebble is sent along the path ${}_2(u)=($:$4-u,u^2+5,12u$:$)$

starting at $u=0.$ Does the pebble hit the bee? Explain.A bee is flying along the path sigma$\_1($tt$,$ t$^2,$ t$^3-$t$>,$ with t measure in seconds starting at t $=0.$ At the same initial moment, a pebble is sent along the path sigma$\_2($uu$,$ u$^2+5,12$u$>$ starting at u $=0.$ Does the pebble hit the bee? Explain.