Finding vector perpendicular to other vectors

AI Thread Summary
To find a unit vector perpendicular to both vectors x=(1,2,3) and y=(-1,0,1), the cross product is the appropriate method. The calculated cross product yields the vector (2,-4,2). To convert this vector into a unit vector, it must be normalized by dividing it by its magnitude. The final result will be a unit vector that is perpendicular to both original vectors. Understanding vector operations, particularly the cross product, is essential for solving this type of problem.
amit25
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Find vector having unit length perpendicular to both x and y. x=(1,2,3) and y=(-1,0,1)?

im not sure where to begin
 
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amit25 said:
Find vector having unit length perpendicular to both x and y. x=(1,2,3) and y=(-1,0,1)?

im not sure where to begin

Start with the properties of the vector operations that you know.
 
like the dot product? sorry i haven't done vectors in 2 years so I am rusty
 
amit25 said:
like the dot product? sorry i haven't done vectors in 2 years so I am rusty
Sounds like a review is in order :smile: Why don't you list the common vector operations and do a bit of research on their properties. Hint: concentrate on the two forms of vector multiplication.
 
okay so i think its the cross product and when i do it i get (2,-4,2), is that all? or is there something more
 
amit25 said:
okay so i think its the cross product and when i do it i get (2,-4,2), is that all? or is there something more

The cross product is the right choice, and your result is good.
 

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