What is the answer to the product of two vectors with r=xi+yj+zk?

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Homework Help Overview

The discussion revolves around the dot product of two vectors, specifically examining the expression r.k where r is defined as xi + yj + zk. Participants are exploring the implications of this operation and the definitions involved.

Discussion Character

  • Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • Participants are questioning the interpretation of the dot product and its definition, with some attempting to clarify the components of the vectors involved. There is also a discussion on the specific case of the vector k.

Discussion Status

The conversation is active, with participants providing definitions and checking each other's reasoning. Some have confirmed parts of the discussion, while others are still exploring the implications of the definitions presented.

Contextual Notes

There appears to be some confusion regarding the application of the dot product and the specific components of the vectors involved. Participants are encouraged to reconsider their assumptions about the vectors and their interactions.

gtfitzpatrick
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Homework Statement



r.k where r=xi+yj+zk

The Attempt at a Solution



is the answer to this just z or is it x+y
 
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Well, why do you think it is either of the answers you quote?

What is the definition of the dot product of two vectors?
 
Dot product of 2 vectors a.b is a1b1+a2b2+a3c3?
 
i think k.k = 0
 
gtfitzpatrick said:
Dot product of 2 vectors a.b is a1b1+a2b2+a3c3?
Ok, good. So, presumably, this definition is for two vectors a=(a1,a2,a3) and b=(b1,b2,b3). Can you write your two vectors in this form?

gtfitzpatrick said:
i think k.k = 0
Hold on.. this doesn't agree with what you stated above. Have another think...
 
xi+yj+zk.k so this is x0+y0+z1 = z?
 
Yup, that's correct.
 
thanks a mill
 
No problem!
 

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