Let $r_1(t)=($:$\frac{1}{2}t-2,t+3,-1+t$:$)$ and $r_2(t)=($:$-\frac{1}{4}t+5,7,t-1$:$)$ be position vectors indicating the locations of satellites traveling along straight lines through space, where $t0$ represents time in hours. Do the satellites cross each others' paths? Do the satellites collide?

$x(t)=3t-2,x(9)=-\frac{1}{4}t+5$