Practice Problems on Triangle Law of Vector Addition

Problem 1: Car travelling 40 km West and 30 km South. Calculate the resultant displacement using Triangle Law of Vector Addition.

Problem 2: A man walks 8 km at an angle of 60 degrees South of West and then 8 km West. Determine the resultant displacement.

Problem 3: An airplane travelling 800 km North and then 500 km due West. Find the resultant of displacement of airplane.

Problem 4: Boat travelling at 10 km upstream and 16 km downstream find the total displacement of boat.

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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Vector Addition

Vector quantity is the quantity which contains both magnitude and direction and the procedure of adding two or more vectors is called vector addition. The addition of two vectors is different from traditional algebraic additions as in the case of vectors we need to add their magnitude as well as their direction i.e., the magnitude and direction of the resultant vector depends on the added vectors....

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....

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....

Triangle Law of Vector Addition Derivation

Consider two vectors A and B representing the two sides of the triangle OP and PQ respectively. Let vector R (OQ) be the resultant vector of the addition of A and B....

Practice Problems on Triangle Law of Vector Addition

Problem 1: Car travelling 40 km West and 30 km South. Calculate the resultant displacement using Triangle Law of Vector Addition....

Solved Examples on Triangle Law of Vector Addition

Example 1: Two vectors P and Q have magnitudes of 9 units and 16 units and make an angle of 30° with each other. Using triangle law of vector addition, find the magnitude and direction of resultant vector....

Triangle Law of Vector Addition – FAQs

What are Scalar and Vector Quantities?...

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