Expressing Vector R in Terms of A, B, C, & D

In summary, the vector R can be expressed as either B-D or A+C, depending on the given context and problem. There is no stated answer, but both options are valid solutions.
  • #1
Beanie
32
0

Homework Statement


Express the vector R in terms of A, B, C, D
(VIEW IMAGE ATTACHED)

Homework Equations

The Attempt at a Solution


R=B-D
OR
R=A+C

In this problem, I figured that because of the way the arrows are pointing R+D=B which you can then simplify to R=B-D. However, this is not an answer to the problem.

I then tried using the other triangle with R. Because of the way the arrows are pointing, I figured that A+C=R. However, this is also not a solution to the problem.
 

Attachments

  • Screen Shot 2015-08-30 at 2.13.32 PM.png
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  • #2
Beanie said:
R=B-D
OR
R=A+C
I agree. What is the stated answer?
 
  • #3
phinds said:
I agree. What is the stated answer?
There is no stated answer, however these are the possible answers (VIEW ATTACHED IMAGE)
 

Attachments

  • Screen Shot 2015-08-30 at 2.38.40 PM.png
    Screen Shot 2015-08-30 at 2.38.40 PM.png
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  • #4
Right. And one of those works just fine.
 

Related to Expressing Vector R in Terms of A, B, C, & D

1. What is the formula for expressing vector R in terms of A, B, C, and D?

The formula for expressing vector R in terms of A, B, C, and D is R = A + B + C + D.

2. How do I solve for vector R using the values of A, B, C, and D?

To solve for vector R, you will need to add the values of A, B, C, and D together. This will give you the magnitude and direction of vector R.

3. What do A, B, C, and D represent in the expression for vector R?

In this expression, A, B, C, and D represent other vectors that are being added together to create vector R. They can represent any type of vector, such as displacement, velocity, or force.

4. Can vector R be expressed in terms of more than four vectors?

Yes, vector R can be expressed in terms of any number of vectors. The formula would simply be R = A + B + C + ... + N, where N represents the last vector being added.

5. Why is it important to express vector R in terms of A, B, C, and D?

Expressing vector R in terms of A, B, C, and D allows us to break down a complex vector into smaller, more manageable parts. It also helps us to understand the relationships and interactions between different vectors in a system.

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