Question
Mon September 12, 2011

# Triangle law of vector addition with expression or derivation

Tue September 13, 2011

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 $\overrightarrow{A}$ and $\overrightarrow{B}$ and the angle between them is $\theta$ 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 $\overrightarrow{A}$ exactly coincides with the tail of vector $\overrightarrow{B}$ and then draw a vector from the tail of the vector $\overrightarrow{A}$ to head of the vector $\overrightarrow{B}$ , The newly drawn vector represents the vector b sum of vectors a and b , as shown in the figure below: