Find the vector equation of the line passing through `2 hat(i) + hat(j) - hat(k)` and parallel to the line joining points `- hat(i) + hat(j) + 4hat(k)` and `hat(i) + 2hat(j) + 2hat(k)`.

Answer

`(2hat(i) + hat(j) - hat(k)) + lambda (2hat(i) + hat(j) - 2hat(k))`