Vector Addition: Parallelogram Law
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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°