Triangle law of vector addition with expression or derivation

**Law of vector addition** :

**The law of triangle of vector addition states:**

If , the two sides of a triangle represents two given vectors in magnitude and direction in same order , then third side drawn in opposite sense represents their vector sum.

**For example:**

Let there be two vectors and and the angle between them is θ as shown in the picture below:

Then , To find their sum first of all we reposition the two vectors such that the head of vector exactly coincides with the tail of vector and then draw a vector from the tail of the vector to head of the vector

, The newly drawn vector represents the vector b sum of vectors �a� and �b� .