Explanation:

- Vikram starts at point R and walks 7 km west.

- He then turns left, which is southward, and walks 2 km.

- Again, he turns left, which is eastward, and walks 4 km.

- At the end of these movements, he ends up 3 km west and 2 km south of point R.

- This places him in the South-West direction relative to R.

- Option 1 (North-East): Not correct, since he moved west and south.

- Option 2 (South-West): Correct, as he ended up west and south of R.

- Option 3 (South-East): Not correct, as he did not move eastward enough.

- Option 4 (North-West): Not correct, as he moved south, not north.