Vector Addition and Subtraction: A Guide for Homework Help

In summary, when adding or subtracting vectors, you can either use the geometric method of placing the tail of the second vector at the head of the first, or break the vectors into their (x,y) components and add/subtract those.
  • #1
EmmaB03

Homework Statement


[/B]
For the vectors A and B (shown in the figure attached), carefully sketch:

- The vector sum C = A + B
- The vector difference D = A - B
- The vector E = -A - B
- The vector difference F = B - A

Homework Equations



Please explain how to do this.

The Attempt at a Solution



Don't know what to do :(
 

Attachments

  • 887d627da29341aa8870cbcaf6218a94_A.jpeg
    887d627da29341aa8870cbcaf6218a94_A.jpeg
    9.8 KB · Views: 467
Physics news on Phys.org
  • #2
When adding two vectors, keep the first one in place, and then put the tail of the second at the head of the first. Then you can draw from the origin to where that second vector's head is, and that's your new vector. Do the same for subtracting, but reverse the direction of the one you're subtracting.

You can also break the vectors up into their (x,y) components and add/subtract those, giving you the (x,y) components for your new vector.
 

What is vector addition and subtraction?

Vector addition and subtraction are mathematical operations used to combine or separate two or more vectors. Vectors are quantities that have both magnitude (size) and direction, and they are often represented by arrows in diagrams.

Why is vector addition and subtraction important?

Vector addition and subtraction are important because they allow us to accurately calculate the combined effect of multiple forces acting on an object. This is essential for understanding and predicting the behavior of physical systems.

What are the rules for vector addition and subtraction?

The rules for vector addition and subtraction are as follows:

  • When adding or subtracting vectors, the order in which they are written does not matter.
  • To add or subtract vectors, they must have the same units and be in the same direction.
  • To add or subtract vectors, we use the Pythagorean theorem and trigonometric functions to calculate the magnitude and direction of the resulting vector.

How do I use vector addition and subtraction to solve problems?

The first step in using vector addition and subtraction to solve problems is to draw a clear and accurate diagram of the vectors involved. Then, use the rules mentioned above to find the resultant vector. Finally, carefully consider the direction and magnitude of the resultant vector to answer the problem's question.

Are there any common mistakes to avoid when using vector addition and subtraction?

Yes, some common mistakes to avoid include:

  • Misinterpreting the direction of the vectors or using the wrong sign when adding or subtracting vectors.
  • Using the wrong units or forgetting to convert units when necessary.
  • Forgetting to account for vectors that cancel each other out or are in opposite directions.

Similar threads

  • Introductory Physics Homework Help
Replies
13
Views
606
  • Introductory Physics Homework Help
Replies
2
Views
2K
  • Introductory Physics Homework Help
Replies
3
Views
879
  • Introductory Physics Homework Help
Replies
17
Views
883
  • Introductory Physics Homework Help
Replies
8
Views
1K
  • Introductory Physics Homework Help
Replies
6
Views
1K
  • Introductory Physics Homework Help
Replies
12
Views
208
  • Introductory Physics Homework Help
Replies
3
Views
2K
Replies
5
Views
1K
  • Introductory Physics Homework Help
Replies
17
Views
1K
Back
Top