Triangle Law of Vector Addition Formula
The triangle law of vector addition arranges the two vector and its resultant vector of addition in the form of a triangle. In this triangle we have the third side of the triangle as resultant vector R and an angle θ between two vectors.
Formula for Magnitude of Resultant of any two vectors is given by
|R| = √(A2+ B2 + 2ABcosθ)
where,
- R is the Resultant of A and B
- A and B are two vectors
- θ is the angle between A and B
Formula for the direction of resultant vector of A and B i.e., Φ; is given by:
Φ = tan-1[Bsinθ /(A + Bcosθ)]
where,
- Φ is the angle of the Vector from positive x-axis
- A and B are two vectors
- θ is the angle between A and B
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.
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