Adding Vectors Formulas
Vector resultant of vectors F1 and F2 (adding vectors):
Where:
α is the angle that the vector F1 makes with the vector F2.
The direction of vector resultant/vector sum
Where:
β is the angle that the vector F1 makes with the vector resultant R.
Analytical Method
Vectors components and the direction of vector sum /resultant:
where θ is the angle that the vector sum R makes with the positive direction of the x axis.