Find the vector equation of the line passing through the point having position vector `3hat(i) + 4hat(j) - 7hat(k)` and parallel to `6hat(i) - hat(j) + hat(k)`.

Answer

`bar(r) = (3hat(i) + 4hat(j) - 7hat(k)) + lambda(6hat(i) - hat(j) + hat(k))`