Appeared in: 2025 (2 sets)
The equation of a line parallel to the vector $3\hat{i} + \hat{j} + 2\hat{k}$ and passing through the point $(4, -3, 7)$ is :
(A) $x = 4t + 3$, $y = -3t + 1$, $z = 7t + 2$
(B) $x = 3t + 4$, $y = t + 3$, $z = 2t + 7$
(C) $x = 3t + 4$, $y = t - 3$, $z = 2t + 7$
(D) $x = 3t + 4$, $y = -t + 3$, $z = 2t + 7$