# 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

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