Triangle Law of Vector Addition
Triangle law of vector addition states that when the two vectors are represented by the two sides of the triangle, then the third side of the triangle represents the resultant vector of addition i.e., the third side of the triangle represents both the magnitude and direction (opposite to the direction of given vectors) of the resultant vector.
If [Tex]\overrightarrow{\rm A} [/Tex] and [Tex]\overrightarrow{\rm B} [/Tex] are two vectors. We have to add these two vectors, then the resultant vector [Tex]\overrightarrow{\rm R} [/Tex] according to triangle law of vector addition is given by:
[Tex]\bold{\overrightarrow{\rm R}=\overrightarrow{\rm A}+\overrightarrow{\rm B}} [/Tex]
Which can be illustrated using the following diagram.
From the two given vectors, to form triangle we arrange these two vectors in such a way that the tail of one vector is joined to the head of the other vector.
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.