A as Sum of B & C: Vector Diagrams

AI Thread Summary
The discussion focuses on identifying which vector diagram correctly represents "A" as the sum of "B" and "C" (A = B + C). The first diagram is suggested as the correct answer because it depicts "A" as the hypotenuse of a right triangle formed by "B" and "C". The explanation emphasizes the graphical addition of vectors, where the resultant vector corresponds to the hypotenuse, illustrating the relationship between the vectors. However, there is a counterpoint that questions the relevance of hypotenuses in this context. Ultimately, the conversation centers on the correct graphical representation of vector addition.
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Homework Statement


Which of the following vector diagrams represent "A" as a sum of "B" and "C". (A=B+C)

http://img402.imageshack.us/img402/94/vectorsnj3.jpg​

Homework Equations



None that I know of.

The Attempt at a Solution



I think the answer is number 1, because A is the hypotenuse.
 
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Consider:
How do you graphically add one vector to another?
 
Well actually, you can add vectors graphically because the resultant vector, which in this case is the hypotenuse, is equal to the sum of both legs of the triangle.
 
It is not the case of whether you CAN add vectors graphically together, but what that addition operation means, the relationship between the resultant vector and those two, and which of the pictures provides a correct description.

One does that, and hypotenuses (hypotenusi?, hypotena??) have nothing at all to do with it.
 
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