What are the two types of motion an object can experience when acted upon by balanced forces?

according to newton's first law of motion, when balanced forces are applied to an object:

The resultant vector is 45.3 N 40.74° North of East

Explanation:

The given vectors can be presented as follows;

35 km at 25 degrees N of E = 35 × cos(25)·  + 35 × sin(25)·  

15 km at 10 degrees E of N = 15 × cos(90 - 10)·  + 15 × sin(90 - 10)·  

15 km at 10 degrees E of N = 15 × cos(80)·  + 15 × sin(80)·  

The sum of the vectors becomes;

∑d = 35 × cos(25)· + 15 × cos(80)· + 35 × sin(25)·  + 15 × sin(80)·  

∑d ≈ 34.33· + 29.56·

The magnitude of the resultant vector = √(34.33² + 29.56²) ≈ 45.3 N

The direction = tan⁻¹(29.56/34.33) ≈ 40.74° North of East

The resultant vector = 45.3 N 40.74° North of East