Resultant Vector Calculator

Theory

The resultant vector is the vector sum of two or more vectors. It can be found by adding the corresponding components of the vectors.

The magnitude of the resultant vector can be calculated using the formula:

$$|R| = \sqrt{R_x^2 + R_y^2 + R_z^2}$$

The direction of the resultant vector can be found using the direction cosines:

$$\cos(\alpha) = \frac{R_x}{|R|}, \cos(\beta) = \frac{R_y}{|R|}, \cos(\gamma) = \frac{R_z}{|R|}$$

Here, $$\alpha$$, $$\beta$$, and $$\gamma$$ are the angles that the resultant vector makes with the x, y, and z axes, respectively.