Parallelogram Law of Vector Addition Formula
In Parallelogram Law of Vector Addition Formula we will learn the formula to find the magnitude of Resultant Vectors and Formula to find the direction of Resultant Vector.
Formula for Magnitude of Resultant Vector R
|R| = √(P2 + Q2 + 2PQcosθ)
Where,
- A and B are the magnitudes (lengths) of vectors P and Q, respectively.
- θ is the angle between vectors P and Q.
In these formulas, P2 and Q2 represent the squares of the magnitudes of vectors P and Q, and cosθ is the cosine of the angle between the vectors.
Formula for Direction of Resultant Vector R
Let the Resultant Vector R make Φ angle with vector P then the direction of resultant vector is given as follows
tan ϕ = [( Qsinθ ) / (P + Qcosθ )]
Parallelogram Law of Vector Addition
Parallelogram Law of Vector Addition explains that when two vectors are considered to be the two adjacent sides of a parallelogram with their tails meeting at the common point, then the diagonal of the parallelogram originating from the common point will be the resultant vector. It is also known as Parallelogram Law in Vector Algebra.
Parallelogram Law of Vector Addition is basically the mathematical expression for vector addition. This law is used to add two vectors when the vectors form two adjacent sides of the parallelogram formed by combining the tails of these two vectors to produce or make the parallelogram itself then the diagonal of the parallelogram is used to calculate the sum of the two vectors which is called resultant vector.
Here, in this article we will learn in detail, the Parallelogram Law of Vector Addition along with a brief introduction to vector addition. We will also learn Parallelogram Law of Vector Addition Formula, Derivation of Parallelogram Law of Vector Addition Formula, its different cases, and its application.