What is the definition of vector addition?

Hint: Here in this question we have been asked to write the definition of vector addition for answering this question we will define the vector addition operation and its properties with the help of some examples.

Complete step-by-step answer:
Now considering from the question we have been asked to write the definition of vector addition.
From the basic concepts we know that the definition of vector is given as the mathematical representation for a physical quantity having both magnitude and direction. Vector of any physical quantity is represented as a straight line with an arrow head where the length of the straight line describes its magnitude and the arrow head represents its direction. Any vector can be simply represented as $\overrightarrow{AB}$ or $\overrightarrow{a}$ .
Vector addition is a type of mathematical operations on vector which is performed on any two vectors basically using the triangle law of vector addition given as the two vectors to be added are represented by the two sides of a triangle with the same magnitude and direction then the third side gives the direction and magnitude of the resultant vector.


Note: While answering questions of this type we should be sure with the concepts that we are going to use in the process. This is purely a concept based question. Similar to the triangle law we also have parallelogram law given as the two vectors to be added are represented by the two sides of a parallelogram with the same magnitude and direction then the diagonal passing through the intersecting point of the vector gives the direction and magnitude of the resultant vector.