Find the vector parameterization for the line which passes through the origin and point $P = \left(-3,1,-3\right)$.

A. $\left<-\frac{t}{3},t,-\frac{t}{3}\right>$
B. $\left<-3t,t,-3t\right>$
C. $\left<t-3,1+t,t-3\right>$
D. $\left<8t,10t,6t\right>$