Resultant Vector Calculator

The vector that 'results' from adding two or more vectors together is Resultant vector. If displacement vectors A, B, and C are added together, the result will be vector R. It is used in the problems dealing with the forces and motion. It can be calculated using two methods, head to tail method and parallelogram method. Online physics resultant vector calculator which is used to calculate magnitude and direction of resultant vector using parallelogram law of forces.

Find Resultant Force Vector Using Parallelogram Law of Forces

N
N
degrees
 
N
degrees
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Formula:


Where, R = Magnitude of resultant vector α = Direction of resultant vector P = Magnitude of vector P Q = Magnitude of vector Q θ = Angle between two vectors

Example

Two vectors P and Q has a magnitude of 10N and 15N and the angle between the two vectors is 60 degrees.
Magnitude of Resultant Vector = √(10^2 + 15^2 + (2x10x15xcos 60°))
= √(100 + 225 + (300 x 0.5))
= √(325 + (150))
= √(475)
= 21.79

Direction of Resultant Vector = tan-1 [(15 x sin 60°) / (10 + 15 x cos 60°)]
= tan-1 [(15 x 0.866) / (10 + 7.5)]
= tan-1 [12.99 / 17.5]
= tan-1 [0.7422]
= 36.6 degrees

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