Finding the angle of 3-dimensional vectors.

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    Angle Vectors
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Homework Help Overview

The discussion revolves around finding the angle between two three-dimensional vectors given their components. The subject area includes vector mathematics and the scalar (dot) product.

Discussion Character

  • Exploratory, Conceptual clarification

Approaches and Questions Raised

  • The original poster attempts to understand how to calculate the angle between two vectors using their components. Some participants suggest using the scalar (dot) product as a method for finding the angle, while others express a need for clarification on the concept of the dot product.

Discussion Status

Participants are exploring the concept of the dot product and its application to finding the angle between vectors. There is an acknowledgment of the method suggested, but no consensus or resolution has been reached regarding the understanding of the dot product itself.

Contextual Notes

Some participants reference prior knowledge from pre-calculus, indicating varying levels of familiarity with the topic. There may be assumptions about the participants' understanding of vector operations and terminology.

niyati
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How would the angle between two vectors be found, if, for each vector, three components (i, j, k) were given?

Ex. Given that vector A = 2.0 i + 4.0 j - 7.0 k and vector B = 5.0 i - 3.0 j + 1.0 k, what is the angle between A and B?
 
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Use the definition of the scalar (dot) product.
 
Last edited:
Ok.

We can find it by dot product.We know that for two vectors A and B

[tex]\vec{A} \cdot \vec{B} = AB\cos\theta[/tex]

Hence find A dot B and divide it by AB. And take its arccosine and you will get your angle.
 
...dot...product?

All right. I'm pulling out some of my old Pre-Cal stuff, when I learned that. :DDD

Thank you.
 

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