Vector perpendicular to two vectors

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Homework Help Overview

The problem involves finding a vector that is perpendicular to two given vectors A and B, specifically A = (i + j - k) and B = (2i - j + 3k).

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • The original poster attempts to find a perpendicular vector using a method involving A*B, which raises questions about the notation used. Some participants seek clarification on the meaning of A*B and its distinction from other vector operations.

Discussion Status

The discussion is ongoing, with participants clarifying terminology and confirming that the cross product of A and B is indeed perpendicular to both vectors. There is acknowledgment that the original poster's approach may not align with the problem's requirements regarding the unit vector.

Contextual Notes

Participants are discussing the implications of the problem's wording, particularly regarding the request for a unit vector versus a perpendicular vector. There is some ambiguity in the notation used by the original poster, which has led to confusion in the discussion.

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Homework Statement


A=(i+j-k) B=(2i-j+3k)
Need to find vector perpenducilar to them

Homework Equations





The Attempt at a Solution


I've solved by finding A*B and then divided it to (A*B), the result was W=2i/[itex]\sqrt{38}[/itex]-5j/[itex]\sqrt{38}[/itex]-3k/[itex]\sqrt{38}[/itex]. Is it correct?
 
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What do you mean by A*B? I know scalar product, dot product, and cross product of vectors but none of those use "*". And what is the difference between "A*B" and "(A*B)"? If you mean |A*B|, the length of the vector, I see no reason to divide. The problem did not ask for a unit vector.
 
I mean AxB, and (AxB) means length of AxB. Do mean that my answer is not correct?
 
No, I meant that I did not understand your answer. Yes, AxB is perpendicular to A and B and so satisfies the condition of the problem. And so AxB/|AxB| is a unit vector perpendicular to both A and B. But the problem did not ask for a unit vector.
 

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