State and explain the triangle law of vector addition.

The triangle law of vector addition asserts that when two vectors are represented as two sides of a triangle with the same order of magnitude and direction, the magnitude and direction of the resultant vector is represented by the third side of the triangle.

We can find the sum of two vectors using the triangle law of vector addition. Assume that you have two vectors, u and v. Place the tail of v at the head of u as illustrated below to find their total: