The Cartesian equation of a line is $\frac{x-5}{3}=\frac{y+4}{7}=\frac{z-6}{2} .$ Write its vector form.

• A
  $\vec{r}=(5 \hat{i}-4 \hat{j}+6 \hat{k})+\lambda(3 \hat{i}+7 \hat{j}+2 \hat{k})$
• B
  $\vec{r}=(5 \hat{i}+4 \hat{j}-6 \hat{k})+\lambda(3 \hat{i}+7 \hat{j}+2 \hat{k})$
• C
  $\vec{r}=(3 \hat{i}+7 \hat{j}+2 \hat{k})+\lambda(5 \hat{i}-4 \hat{j}+6 \hat{k})$
• D
  $\vec{r}=(5 \hat{i}-4 \hat{j}+6 \hat{k})+\lambda(3 \hat{i}-7 \hat{j}+2 \hat{k})$