Perpendicular 3Dimensional Vectors

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Homework Help Overview

The discussion revolves around finding a perpendicular vector to two given three-dimensional vectors, specifically exploring different methods to achieve this. The subject area is vector mathematics, particularly focusing on vector operations in three-dimensional space.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • Participants discuss the use of the cross product as a method for finding a perpendicular vector and question alternative methods, such as using the dot product to find a vector that is orthogonal to the given vectors.

Discussion Status

The conversation is ongoing, with participants sharing their thoughts on different approaches. Some express that the methods discussed are essentially the same, while others suggest that rephrasing might lead to new insights. There is no explicit consensus on the best method, but various perspectives are being explored.

Contextual Notes

Participants are considering the implications of using different methods to find perpendicular vectors, including the potential for confusion in terminology and approach. There is an acknowledgment of the simplicity of one method compared to another, but no resolution on the preferred technique.

thursdaytbs
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How would you go about finding a perpendicular vector, to two 3 dimensional vectors? One way, I solved is using the cross product of the two vectors. Splitting the i's j's and k's up and solving using a determinent. But, what's another way to do it?
 
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Find the normal to the plane that contains the two vectors?
 
whozum said:
Find the normal to the plane that contains the two vectors?

That's the same thing.

thursdaytbs said:
But, what's another way to do it?

You did it "the easy way", which is how I would have done it. "The hard way" would be to find a vector whose dot product with each of the first two vectors vanishes. Pure silliness, that route.
 
That's the same thing.

Worded differently, might have given him a different idea? :confused:
 

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