Cross Product of a Constant Vector

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SUMMARY

The discussion centers on the cross product of a constant vector and a variable vector, clarifying that the concept of "constant" does not affect the cross product itself. The cross product is defined as a product of two vectors, and the method to compute it involves taking the determinant of a matrix formed by the vectors. The confusion arose from mixing up the cross product with the curl of a vector, which are distinct mathematical operations. The participants emphasized the importance of understanding the definitions and properties of vector operations.

PREREQUISITES
  • Understanding of vector mathematics
  • Familiarity with the concept of cross product
  • Knowledge of determinants in linear algebra
  • Basic understanding of vector calculus
NEXT STEPS
  • Study the properties of the cross product in three-dimensional space
  • Learn how to compute the determinant of a 3x3 matrix
  • Explore the differences between cross product and curl in vector calculus
  • Practice solving problems involving vector operations in physics
USEFUL FOR

Students of mathematics and physics, educators teaching vector calculus, and anyone seeking to clarify the concepts of vector operations and their applications.

quantumfoam
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Okay, now that my question has been cleared up, what is the cross product of a constant vector and a vector? Is there a formula?
 
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To cross two vectors you can simply take the determinate of the matrix they make. As far as I know this method works for all constant and variable vectors which have a determinate that exist.

 
Last edited by a moderator:
quantumfoam said:
Okay, now that my question has been cleared up, what is the cross product of a constant vector and a vector? Is there a formula?
What do you mean by "the cross product of a constant vector and a vector"? The cross product is a product of two vectors. Whether "constant" or "variable" has nothing to do with the product.

And what question are you referring to with "now that my question has been cleared up"? This is exactly the question you asked in https://www.physicsforums.com/showthread.php?t=668424. If you did not understand the answers there, explain what you do not understand. Do not just start a new thread for exactly the same question!
 
Sorry if I have made SOME people upset. I wasn't really thinking about the math. Nevermind about this problem. A constant vector could be just like any other vector. I somehow confused the cross product with the curl of a vector. Sorry about my confusion everyone. Once again, I am sorry for making anyone upset and frustrated. Just some confusion HallsofIvy.
 

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