Find the vector equation of the line passing through the point having position vector `-hat(i) - hat(j) + 2hat(k)` and parallel to the line `bar(r) = (hat(i) + 2hat(j) + 3hat(k)) + lambda (3hat(i) + 2hat(j) + hat(k))`.

Answer

`bar(r) = (-hat(i) - hat(j) + 2hat(k)) + lambda (3hat(i) + 2hat(j) + hat(k))`