Adding Horizontal Vectors Graphically

In summary, the conversation discusses adding two horizontal vectors graphically, where the result is the Cvector. Avector has a length of 4 in the east direction, while Bvector has a length of 1 in the west direction. 2*Bvector has a length of 2. The attempt at a solution was to draw both vectors, but it resulted in Avector - 2*Bvector instead of adding them. The final solution is that vector C has a length of 2, with the positive direction being east.
  • #1
Lemniscate
16
0

Homework Statement


I am asked to add two horizontal vectors graphically. The result being the Cvector:
Cvector= Avector + 2*Bvector


Homework Equations


Avector has a length of 4 in the east direction.
Bvector length 1 in the west director.

2*Bvector= length 2


The Attempt at a Solution


Cvector has a length of 6. I know that. But while drawing them graphically, I end up drawing Avector - 2*B vector instead of adding both vectors.

How can I show the addition of both horizontal vectors?
 
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  • #2
Hi Lemniscate

I don't think vector C has a length of 6. Assume that the positive direction is the east direction, so we have vector A = 4 and vector B = -1. Adding them will end up as subtraction.
 
  • #3
Hm. I see what you're saying.
In my problem, the length of vector C is 2.

Thank you, songoku!
 
  • #4
You're welcome ! :smile:
 

FAQ: Adding Horizontal Vectors Graphically

What is the purpose of adding horizontal vectors graphically?

The purpose of adding horizontal vectors graphically is to determine the resultant vector, which represents the combined effect of multiple horizontal vectors acting on an object. This can be useful in various fields, such as physics, engineering, and navigation.

How do you add horizontal vectors graphically?

To add horizontal vectors graphically, first draw a scale diagram representing each vector with its magnitude and direction. Then, place the tail of each vector at the head of the previous vector. The resultant vector is found by drawing a line from the tail of the first vector to the head of the last vector.

What is the difference between adding horizontal vectors algebraically and graphically?

Adding horizontal vectors algebraically involves using mathematical operations, such as addition and subtraction, to find the resultant vector. On the other hand, adding horizontal vectors graphically involves visually representing the vectors and using scale diagrams to determine the resultant vector.

What challenges may arise when adding horizontal vectors graphically?

One challenge that may arise when adding horizontal vectors graphically is the accuracy of the scale diagram. If the scale is not drawn accurately, the resultant vector may also be inaccurate. Additionally, it may be difficult to add vectors with different scales or angles.

Is there a limit to the number of horizontal vectors that can be added graphically?

No, there is no limit to the number of horizontal vectors that can be added graphically. However, as the number of vectors increases, it may become more difficult to accurately draw and measure the scale diagram, leading to potential errors in the resultant vector.

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