- #1
cscott
- 778
- 1
I have two vectors in the form \vec{v} = v_x \^{i} + v_y \^{j} + v_z \^{k}. What's the easiest way to find the distance between them?
How Do You Calculate the Distance Between Two Vectors?
- Thread starter cscott
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SUMMARY
The distance between two vectors, represented as \(\vec{v} = v_x \hat{i} + v_y \hat{j} + v_z \hat{k}\), is calculated by finding the magnitude of the resultant vector obtained after subtracting one vector from the other. This involves computing the components of the difference vector and applying the Euclidean distance formula. The discussion confirms that this method is straightforward and effective for determining vector distances.
PREREQUISITES- Understanding of vector notation and components
- Familiarity with vector subtraction
- Knowledge of the Euclidean distance formula
- Basic proficiency in linear algebra concepts
- Study the Euclidean distance formula in detail
- Learn about vector operations in linear algebra
- Explore applications of vector distance calculations in physics
- Investigate computational methods for vector distance in programming languages like Python
Students and professionals in mathematics, physics, and computer science who need to calculate distances between vectors for various applications, including data analysis and machine learning.
- #2
marlon
- 3,779
- 11
Err, goto yuor other post, the answer is there.
The distance of two vectors (expressed in their components (v_x,v_y,v_z)) is just the magnitude of the vector you get after subtracting them. You are doing this in your other post.
marlon
The distance of two vectors (expressed in their components (v_x,v_y,v_z)) is just the magnitude of the vector you get after subtracting them. You are doing this in your other post.
marlon
- #3
cscott
- 778
- 1
yeah I just realized this but you beat me to it
- #4
marlon
- 3,779
- 11
no problemo amigocscott said:yeah I just realized this but you beat me to it
marlon
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