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Why unit vector has magnitude one?

Updated: 12/13/2022
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12y ago

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That's what "unit" means.

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12y ago
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Q: Why unit vector has magnitude one?
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Related questions

Why a unit vector is aone type of vector but a vector is not a unit vector?

A unit vector is a vector whose magnitude is one. Vectors can have magnitudes that are bigger or smaller than one so they would not be unit vectors.


If a vector quantity is divided by its magnitude the vector obtained is called?

The vector obtained by dividing a vector by its magnitude is called a unit vector. Unit vectors have a magnitude of 1 and represent only the direction of the original vector.


What are unit vectors?

a unit vector is a vector which has exact same direction and has its length or magnitude equal to one


What is a unit vector?

It is a vector whose magnitude is 1.It is a vector whose magnitude is 1.It is a vector whose magnitude is 1.It is a vector whose magnitude is 1.


Define the unit vector?

The unit vector is a vector whose magnitude is 1.


Can a unit vector have any components with magnitude greater than unity?

No, by definiton, a unit vector is a vector with a magnitude equal to unity.


Why A unit vector is a vector but a vector is not a unit vector?

A unit vector is one which has a magnitude of 1 and is often indicated by putting a hat (or circumflex) on top of the vector symbol, for example: Unit Vector = â, â = 1.The quantity â is read as "a hat" or "a unit".


What is a unit vector in mathematics?

A vector of magnitude 1.


What is unit vector in physics?

a vector having unit magnitude and have a certain direction.


When vector is divided by its own magnitude you find its?

We get the Unit Vector


Can a vector be represented in terms of unit vector?

Yes, a vector can be represented in terms of a unit vector which is in the same direction as the vector. it will be the unit vector in the direction of the vector times the magnitude of the vector.


Prove that the unit vector is dimenssionless?

The unit vector is the ratio of the vector and its magnitude, thus : R/r = (Ix + Jy + Kz)/r where r= Sqroot(x^2 + y^2 + z^2). Units of the vector and the magnitude are the same thus divide out and the unit vector is dimensionless.