Application of Parallelogram Law of Vector Addition

The various applications of Parallelogram Law of Vector Addition is listed below:

  • In physics, this law is used to calculate the resultant of two forces acting at an angle to each other.
  • It is applied in navigation and aviation to determine the resultant velocity or displacement when an object has both horizontal and vertical components of motion.
  • It is crucial for flight planning and navigation.
  • It helps calculate the resultant motion or direction of an object when multiple forces or transformations are applied simultaneously.
  • It helps the students to find the resultant of two vectors very easily.
  • Astronomers use parallelogram law of vector addition to analyze the motion of celestial bodies like planets and stars. It also helps to determine its resulting path or orbit when multiple gravitational forces are acting on an object.

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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.

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What is Parallelogram Law of Vector Addition?

The Parallelogram Law of Vector Addition is a fundamental principle in vector mathematics that explains how to add two vectors. It describe that when two vectors are added together, their sum is represented by the diagonal of the parallelogram that starts from the same point as the two vectors which is called resultant vector....

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....

Derivation of Parallelogram Law of Vector Addition

Consider two vectors, P and Q respectively represented by arrows with directions and magnitudes....

Cases for Parallelogram Law of Vector Addition

There are some cases where the Parallelogram Law of Vector Addition can be applied: When...

Application of Parallelogram Law of Vector Addition

The various applications of Parallelogram Law of Vector Addition is listed below:...

Solve Examples on Parallelogram Law of Vector Addition

Example 1: Two forces of 6 N and 8 N are acting at a point such that the angle between them is 60 degrees. Find the resultant force....

Practice Questions on Parallelogram Law of Vector Addition

Q1. If two vectors A and B have magnitudes of 6 units and 8 units, respectively. The angle between them is 120 degrees. Find the magnitude and direction of their resultant vector using the Parallelogram Law of Vector Addition....

Parallelogram Law of Vector Addition – FAQs

What is Parallelogram Law of Vector Addition?...

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