Geometric Methods for Adding Vectors: Are You Doing It Right?

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The discussion focuses on the geometric representation of the vector relationship vector a - vector b = vector c, which can also be expressed as vector a + (-vector b) = vector c. Two methods for adding vectors are illustrated: the parallelogram rule and an alternative method. The user seeks validation on whether the vectors were added correctly, noting the importance of accurately representing the negative direction of vector b. A correction is mentioned regarding the placement of the negative sign in the drawings. Overall, the geometric methods for vector addition are confirmed as valid, with attention to detail being crucial for accuracy.
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Represent the below vector relationship geometrically, illustrating two different ways of adding vectors.

Vector a - vector b = vector c.

I know the above relationship can also be expressed as:

Vector a + (-vector b) = vector c.

In other words, we flip the direction of vector b and add as usual.

Attached are two pictures of me adding two *arbitrary* vectors a and b (vectors a and b change in the two attached photos).

In the first picture, I use the parallelogram rule. In the second picture, I use another method to add the arbitrary vectors a and b.

Did I add the two vectors together correctly?
ImageUploadedByTapatalk1391299475.883452.jpg

ImageUploadedByTapatalk1391299487.617555.jpg
 
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Qube said:
Represent the below vector relationship geometrically, illustrating two different ways of adding vectors.

Vector a - vector b = vector c.

I know the above relationship can also be expressed as:

Vector a + (-vector b) = vector c.

In other words, we flip the direction of vector b and add as usual.

Attached are two pictures of me adding two *arbitrary* vectors a and b (vectors a and b change in the two attached photos).

In the first picture, I use the parallelogram rule. In the second picture, I use another method to add the arbitrary vectors a and b.

Did I add the two vectors together correctly?
Your problem statement has the "-" sign with vector b, but your drawing has the "-" sign on vector a instead. Other than that, you have the right idea.
 
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