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

In summary, Vector A has a magnitude of 8.00 units and an angle of 45.0 degrees with the positive x-axis, while Vector B has the same magnitude but is directed along the negative x-axis. Using graphical methods, the vector sum A+B can be found by adding the two vectors head-to-tail, and the vector difference A-B can be found by adding the negative of Vector B to Vector A. This can be visualized using a parallelogram made up of the vectors.
  • #1
wowdusk
26
0

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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  • #2


wowdusk said:
Do i just use the graph to count?
Yes

What about the difference vector?
Same deal. Remember, vectors add head-to-tail.
 
  • #3


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.
 
  • #4


thank you
 

1. What is a vector difference?

A vector difference is a mathematical operation used to calculate the difference between two vectors. It involves subtracting the components of one vector from the components of another vector to find the resulting vector.

2. How is vector difference different from vector addition?

Vector difference involves subtracting the components of one vector from the components of another vector, while vector addition involves adding the components of two vectors. The result of vector difference is a new vector with different magnitude and direction, while the result of vector addition is a vector with the same magnitude and direction as the original vectors.

3. What is the purpose of using vector difference?

Vector difference is used to calculate the displacement or change in position between two points in a vector field. It is also used in physics and engineering to determine the net force acting on an object when multiple forces are present.

4. How do I calculate vector difference?

To calculate vector difference, you need to subtract the corresponding components of one vector from the components of another vector. For example, if vector A is (3,2) and vector B is (1,4), the vector difference would be (3-1, 2-4) = (2, -2).

5. Can vector difference be negative?

Yes, vector difference can be negative. This indicates that the resulting vector is in the opposite direction of the original vectors. It is important to pay attention to the direction of the resulting vector when calculating vector difference.

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