Resultant Vector Formula

What is a Resultant Vector?

A resultant vector is the vector obtained when two or more vectors are added together. It represents the combined effect of all the vectors in both magnitude and direction.

How to Calculate a Resultant Vector?

To calculate a resultant vector, add the corresponding components of the given vectors. For vectors A and B in 2D: R = A + B = (A_x + B_x, A_y + B_y)

What is Formula for Magnitude of a Resultant Vector?

The magnitude of a resultant vector R = (Rx, Ry) is calculated using the Pythagorean theorem: ∣R∣= √(R_x²+R_y2)

​How do you Find Direction of a Resultant Vector?

The direction of a resultant vector R with components (R_x, R_y) can be found using the inverse tangent function: θ = tan⁡⁻¹(R_y/R_x)

Resultant vector formula gives the resultant value of two or more vectors. The result is obtained by computing the vectors with consideration of the direction of each vector to others. This formula has various applications in Engineering & Physics.