Addition of Two Vectors Mean in Math

The sum of two or more vectors is called the resultant.

The addition of two vectors is explained by the following two laws: triangle law and parallelogram law of addition.

 Addition of two vectors

The addition of two vectors is explained by the following two laws:

• Triangle law Of addition
• Parallelogram law of addition

Triangle law of Addition

If two vectors u_– and v_– are represented by the two sides AB and BC of a triangle such that the terminal point of u coincides with the initial point of v, then the third side AC of the triangle gives vector

 Sum u +v that is

• Parallelogram law of addition

If two vectors u_– and v_– are represented by two adjacent sides AB and AC of a parallelogram as shown in the figure, then diagonal AD give the sum or resultant of AB and AC.

That is