Find the unit vector perpendicular to a and b

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Homework Help Overview

The problem involves finding a unit vector that is perpendicular to two given vectors, a and b, defined as a=3i+2j+k and b=2i+j+2k. The context is within vector mathematics, specifically focusing on the properties of perpendicular vectors.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • Participants discuss the use of the dot product and cross product to determine the perpendicular vector. Some suggest that the properties of the cross product can be utilized to find the required unit vector. Others express uncertainty about how to start the problem.

Discussion Status

The discussion includes various attempts to approach the problem, with some participants suggesting methods while others share their experiences of struggling with the concepts. There is a mix of guidance and exploration of different mathematical properties related to the problem.

Contextual Notes

Some participants note that this problem falls under precalculus mathematics rather than physics, indicating a possible distinction in the approach to the problem.

anantchowdhary
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Homework Statement


there are two vectors a and b

a=3i+2j+k
b=2i+j+2k

Find the unit vector perpendicular to a and b

Homework Equations



| A|^a=A

The Attempt at a Solution



I don't kno how to start
 
Physics news on Phys.org
go to mathworld.com and find what it means to be a perpendicular vector to
2 other vectors.
 
Well, calling the third vector c=(l,m,n), you should be able to find 3 equations. They will come from the facts that (i) a is perpendicular to c, (ii) b is perpendicular to c, and (iii) c is a unit vector.
 
i tried to use the dot product and cross product but i still couldn't get the answer
 
Well what did you try?
 
anantchowdhary said:

Homework Statement


there are two vectors a and b

a=3i+2j+k
b=2i+j+2k

Find the unit vector perpendicular to a and b

Homework Equations



| A|^a=A

The Attempt at a Solution



I don't kno how to start
Do you know the properties of vector (cross) product ?
and this is precalculus math, not physics
 
try using crossproduct,

a x b = resultant(r)
divide a x b by the magnitude of r,
u will get ur unit vector
 
ya axb..will give us vector whose unit vector is required
 
yea..thnx...gt the answer long ago! thnx nywyz

help much appreciated
 

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