Vector problem simple question

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The discussion centers on a right-angle triangle problem involving vectors, where the hypotenuse is labeled V3 and the other sides V1 and V2. The question posed is about why V3 equals V2 minus V1, while the inquirer believes it should be calculated using the Pythagorean theorem, V3 = √(V2² + V1²). It is clarified that the confusion arises from the difference between scalar and vector operations, emphasizing that vector addition involves connecting the head of one vector to the tail of another. The explanation highlights the importance of understanding vector relationships visually, as demonstrated in the accompanying diagram. Understanding these principles is crucial for correctly interpreting vector problems.
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I am having trouble understanding a question that has a right angle triangle with sides labeled hypotenous=V3, and the other two sides are labeled V1, and V2. The question asks what is V3 equal to, and the correct answer is V2-V1. I can't understand why, I thought it should be the square root of V2^2+V1^2. Can someone please explain this to me?
 
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You're right, but that is a scalar expression. Adding and subtracting with vectors as the elements is interpreted differently than with numbers. Let's say you add 2 vectors. You take the head of one (vec A) and connect it to the tail of the other (vec B). The sum (vec C) is the vector with its tail at the tail of vec A and head at the head of vec B --- A + B = C. Look at the diagram carefully and see how the vectors are connected.
 
thank you for helping.
 

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