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.
Q2. Vector R1 has a magnitude of 10 units, directed at an angle of 60 degrees above the x-axis. Vector V2 has a magnitude of 15 units, directed at an angle of 30 degrees above the x-axis. Find the resultant vector R using the Parallelogram Law.
Q3. There are two vector of magnitudes 10 and 20 units, and the angle between then is 120 degree. Calculate the direction and the magnitude of their resultant vector using the Parallelogram Law of vector addition.
Q4. If you have two vectors V1 and V2 of magnitudes 15 N and 20 N, respectively. If the angle between them is 120 degrees then calculate the direction and the magnitude of the resultant force using the Parallelogram Law of Vector Addition.
Q5. State and Prove Parallelogram Law of Vector Addition.
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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