Answer to Question #314700 in Mechanics | Relativity for Nics

Question

1. Suggest a way how to use the parallelogram method to add more than two vectors. 
2. Is it possible to add two vectors having different magnitudes and yield zero resultant? Support your answer. How about instead of only two vectors, we have three vectors to be added? Support your answer.
3. A given vector has at least one of its components not equal to zero. Is it possible for this vector to have zero resultant? Support your answer. 

Answer 1

Answer

1) This is represented in magnitude and direction by the diagonal of the parallelogram through their common point. This is the Parallelogram law of vector addition. Hence, we can conclude that the triangle and parallelogram laws of vector addition are equivalent to each other.

2) No , two vectors of different magnitude cannot give a zero resultant . But three vectors can , provided one vector is equal and opposite to the resultant of the other two vectors

3) vector with zero magnitude cannot have non-zero components . Because magnitude of given vector must be zero . This is possible only when Vand V' are zero