Vector Cross Product Homework: Find a×(a-2b+c)

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Homework Help Overview

The problem involves finding the vector cross product a×(a-2b+c) given specific values for a×b and c×a. The subject area pertains to vector operations, specifically the cross product.

Discussion Character

  • Exploratory, Assumption checking

Approaches and Questions Raised

  • Participants discuss the properties of the cross product and consider how to apply them to the expression a×(a-2b+c). There is an exploration of whether the components of vectors a, b, and c need to be determined. Some participants suggest distributing the cross product across the terms.

Discussion Status

The discussion includes various attempts to clarify the necessary components for solving the problem. Some participants express uncertainty about needing to find the components of the vectors, while others assert that only the results of the given cross products are required. Guidance has been offered regarding the application of the cross product properties.

Contextual Notes

There is an emphasis on not needing to find the individual components of the vectors a, b, and c, focusing instead on the provided cross product results.

Cpt Qwark
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Homework Statement


Given a×b=-i-j+3k and c×a=2i-3j+k, find a×(a-2b+c)

Homework Equations


Cross product (DONE WITHOUT MATRICES).

The Attempt at a Solution


a[/B]×b=c=-(b×a)is all I'm getting to at this point
 
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Cpt Qwark said:

Homework Statement


Given a×b=-i-j+3k and c×a=2i-3j+k, find a×(a-2b+c)

Homework Equations


Cross product (DONE WITHOUT MATRICES).

The Attempt at a Solution


a[/B]×b=c=-(b×a)is all I'm getting to at this point
Simply distribute the cross-product.

##\vec{P}\times(\vec{Q}+\vec{R})=\vec{P}\times\vec{Q}+\vec{P}\times\vec{R}##
 
Thanks,
so would I have to find the components of a, b, and c?
 
Cpt Qwark said:
Thanks,
so would I have to find the components of a, b, and c?
No. Not at all.

What is a×a ?
 
Cpt Qwark said:
Thanks,
so would I have to find the components of a, b, and c?

No, you only need the components of axb and axc. Follow SammyS's suggestion.
 
Ok thanks guys I got it
 

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