Find the vector parameterization for the line which passes through $P = \left(8,10,6\right)$ with direction vector $\mathbf{v} = \left<-3,1,-3\right>$.

A. $\left<-24,10,-18\right>$
B. $\left<8+\left(-3\right)t,10+1t,6+\left(-3\right)t\right>$
C. $\left<-3+8t,1+10t,-3+6t\right>$
D. $\left<-3t,1t,-3t\right>$