**Question 1: How are vectors added and subtracted geometrically?**

**ANSWER**

Two or more than two vectors can be added geometrically. The method is popularly known as head-to-tail rule.

Draw the representative lines of all the vectors to be added. It should be taken mind that all vectors should be taken according to the same scale and direction map. Then draw the lines in such a way that the tail of one vector line coincides with the head of the other. In such a way all the vectors to be added are mapped. Finally, draw a line from the tail of the first vector to the tip of the last. Put an arrow-head at the end coinciding with the last vector which determines the direction of the resultant vector. The length of the line gives the magnitude of the resultant vector, according to the chosen scale.

In the following example, 3 displacement vectors are added.

(Take two vectors **A** and **B** and show that **A** + **B** = **B** + **A **as an exercise. This is called the commutative property of vector addition).

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