Vector Addition: Parallelogram Law

Vector Addition: Parallelogram Law

Interactive 3D Visualization

Vector Parameters

5.0 units
(5.00, 0.00, 0.00)
5.0 units
(2.50, 4.33, 0.00)
60°

Parallelogram Law of Vector Addition

When two vectors are represented as adjacent sides of a parallelogram, the resultant vector is given by the diagonal of the parallelogram.

R = √(A² + B² + 2ABcosθ)

The direction of the resultant vector can be found using the sine rule:

R/sinθ = A/sinβ = B/sinα
Resultant Magnitude (R): 8.66 units
(7.50, 4.33, 0.00)
Angle between A and R (α): 30.00°

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