Vectors Math Help (solution check)

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Homework Help Overview

The problem involves demonstrating that the vector identity ⃗ a ×(b⃗ ×c⃗ ) is not equal to (a⃗ ×b⃗ )×c⃗ using specific vectors in three-dimensional space.

Discussion Character

  • Exploratory, Assumption checking

Approaches and Questions Raised

  • Participants discuss the validity of the vector identity and explore the implications of the cross product properties. One participant suggests checking the dot products to confirm perpendicularity as part of the reasoning process.

Discussion Status

The discussion includes attempts to verify the identity through specific calculations and checks. Some guidance has been offered regarding the properties of the cross product, but no consensus has been reached on the overall approach or final outcome.

Contextual Notes

Participants reference the use of specific vectors and the requirement to demonstrate the inequality, indicating a focus on understanding the properties of vector operations.

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Homework Statement


Use three specific vectors in 3 space to show that ⃗ a ×(b⃗ ×c⃗ ) ≠ (a⃗ ×b⃗ )×c⃗

solution is in pdf...

Homework Equations

The Attempt at a Solution

 

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amy098yay said:

Homework Statement


Use three specific vectors in 3 space to show that ⃗ a ×(b⃗ ×c⃗ ) ≠ (a⃗ ×b⃗ )×c⃗

solution is in pdf...

Homework Equations

The Attempt at a Solution

Looks good now.
For future reference, you can check your answers. a x (b x c) should be perpendicular to both a and a x c. Just calculate the dot product of a and a x (b x c), and of (b x c) and a x (b x c). Each dot product should be zero. Same thing with the other triple product.
 
for sure, thank you so much for taking time out of your day to help me with this problem :)
 
You're welcome! Most of us helping out here like to do this...
 

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