Vector Sum and Difference: Solving with Graphical Methods | Homework Help

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To solve the problem of finding the vector sum A+B and the vector difference A-B graphically, one should use the head-to-tail method for vector addition. For vector A, with a magnitude of 8.00 units at a 45-degree angle, and vector B, with a magnitude of 8.00 units along the negative x-axis, the graphical representation will help visualize the operations. The difference vector A-B can be found by adding the negative of vector B to vector A. Utilizing a parallelogram formed by the two vectors can clarify both addition and subtraction. This approach effectively illustrates the relationships between the vectors.
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Homework Statement



hi i am having problems with this problem

Vector A has a magnitude of 8.00 units and makes an angle of 45.0 degrees with the positive x-axis. Vector B also has a magnitude of 8.00 units and is directed along the negative x-axis. Using graphical methods, find (a) the vector sum A+B and (b) the vector difference A-B.


Homework Equations


A+B
A-B

The Attempt at a Solution


Do i just use the graph to count?
What about the difference vector?
 
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wowdusk said:
Do i just use the graph to count?
Yes

What about the difference vector?
Same deal. Remember, vectors add head-to-tail.
 


What is the graphical method of adding two vectors? Subtracting one vector from the other is defined as simply adding the negative of the second vector to the first. Using a parallelogram made up of the vectors, you can see both of these operations.
 


thank you
 
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