Using the vector equation, the new position $R$ of an object travels from a position $Q=(-2,3,1)$ and parallel to the vector $3$hat$(i)+2$hat$(j)-$hat$(k),$ when $t=2$ is$.$

a$)R=(3,2,-1)$

b$)R=(-2,3,1)$

c$)R=(6,4,-2)$

d$)R=(4,7,3)$

e$)R=(4,7,-1)$