Tuesday, 17 November 2020

Laws of addition of Vectors


How Triangle Law and Parallelogram law of addition of Vectors are different?Ain't they.


Please don't tell me the things written in book......give me the appropriate reason.And how do i distinguish between the two while adding vectors,what am i trying to say is i get really confused where to use parallelogram law and where triangle law


P.s:my basics are really weak though!May be the question might not be right



Answer




How Triangle Law**and **Parallelogram law of addition of Vectors are different?Ain't they.




They are not different.


They are the same thing. There is only one real law which is the head to tail rule. When adding any number vectors put head to tail, head to tail, head to tail... until all the vectors are used up and then draw a line from the tail to the head and that is your resultant vector.


The parallelogram law is essentially just using the triangle law twice in a different order, and they both get the same answer because order does not matter I.E. $\vec A+ \vec B = \vec B + \vec A$.


Here shows the addition of three vectors, the "triangle" rule has been used twice in a row to get $\vec A+ \vec B + \vec C = \vec R$. If yo tried to use the parallelogram to get this answer the resulting diagram would be a mess of repeatedly writing the same vector and over.


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