Triangle Law of Vector Addition
What are Scalar and Vector Quantities?
The quantities which have only magnitude are called scalar quantities. The quantities which have both magnitude and direction are called vector quantities.
What is Vector Addition?
The method of addition of vector using laws is called as vector addition.
What are the Necessary Conditions for Vector Addition?
Necessary conditions for vector addition are:
- All the quantities added must be a vector quantity.
- Vectors which are added must be of same type.
What are the Three laws of Vector Addition?
Three laws of vector addition are:
- Triangle Law of Vector Addition
- Parallelogram Law of Vector Addition
- Polygon Law of Vector Addition
State Triangle law of Vector Addition.
The triangle law of vector addition states that when two vectors are added, it can be represented by the two sides of the triangle and the resultant vector is given by the third side.
[Tex]\bold{\overrightarrow{\rm R}=\overrightarrow{\rm A}+\overrightarrow{\rm B}} [/Tex]
Write the formula for the triangle law of vector addition.
The formula for the triangle law of vector addition:
|R| = √(A2+ B2 + 2ABcosθ)
Φ = tan-1[Bsinθ /(A + Bcosθ)]
Triangle Law of Vector Addition
The Triangle Law of Vector Addition is a method used to add two vectors. It states that when two vectors are represented as two sides of a triangle in sequence, the third side of the triangle is taken in the opposite direction. It represents the resultant vector in both magnitude and direction.
Vectors are the backbone of many technologies nowadays, such as computer graphics, visual effects, machine learning, and artificial intelligence. Therefore, understanding the addition of vectors is a much-needed skill to understand these further advanced topics.
Let’s learn more about Triangle Law of Vector Addition in detail with steps to add two vectors with formula below.