The vector equation of the line through the points $(3,4,-7)$ and $(1,-1,6)$ is ______________.

Question

$\begin{array}{1 1}(A)\;(x-3) \hat i+(y-4) \hat j+(z+7) \hat k=\lambda(-2 \hat i-5 \hat j+14 \hat k) \\(B)\;(x-3) \hat i-(y-4) \hat j+(z+7) \hat k=\lambda(-2 \hat i-5 \hat j+14 \hat k) \\(C)\;(x-3) \hat i+(y-4) \hat j+(z+7) \hat k=\lambda(2 \hat i+5 \hat j+14 \hat k) \\(D)\;(x-3) \hat i-(y-4) \hat j-(z-7) \hat k=\lambda(-2 \hat i-5 \hat j+14 \hat k) \end{array}$