On my hood latch, there is only one spring (the heavy spring in your picture) attached to those two points.
The heavy spring handles two functions, the main hood latch and the safety latch, the second spring, the one that you are asking about attaches to the "tooth" in the lower right of the picture and is the "cable return" spring.
Unless I'm wrong if the lever is on the rightmost part it's on the unlock position and on the left would be the locked position. I didn't test putting it in a position to the right and maybe I put it up too high and the proper way was (and it probably is) on the small rectangle space but the way the old spring is (hooks are separated by 90 degrees)I got lost But still mine works even better that way lol...
Vitara 2003, 2WD
2.0 L 2000cc L4 FI DOHC motor -J20A-
Full auto 3 speed transmission + O/D
To do list:
Paint calipers and drums.
Paint all outside plastic (centercaps, trims, roof and maybe fenders)
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