Forces In 3D Space

Question 1

If the cosine angles are dependent of each other, what can we work out

Answer 1

The change in force from the change in angle
Fx = Δx/Δ F (same for any axis)

Fx = new force in x direction
Δx = change in x (x2-x1)
Δ = sqrt(Δx^2 + Δy^2 + Δz^2)
F = force

Question 2

When working with resultant forces in space how do you work out the magnitude and direction of R

Answer 2

Magnitude R = sqrt(Rx^2 + Ry^2 Rz^2)

Direction cos θx = Rx/R (same for other axis)