Question

Graphically, what is the resultant or sum of vectors A and Bˉ ? 16) If we add more than two vectors, where does the resultant (sum) start and end? 17) What happens if we change the order in which we add vectors?

Answer 1

The resultant of vectors A and B can be graphically represented by drawing vector A, starting from the origin, and then drawing vector B, starting from the tip of vector A. The resultant vector is then drawn from the origin to the tip of vector B, forming a triangle with vectors A and B as its sides.

If we add more than two vectors, the resultant or sum starts at the origin and ends at the tip of the last vector added. To obtain the resultant, we can add the vectors in any order, as long as we maintain the direction and magnitude of each vector.

However, changing the order in which we add vectors can affect the final direction and magnitude of the resultant. For example, if we add vectors A, B, and C in order, we may obtain a different resultant compared to adding vectors B, C, and A in a different order. Therefore, it is important to take into consideration the order in which we add vectors to obtain an accurate esultant.