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The significance of the magnitude of a unit vector being one is that it represents a direction without changing the size or scale of the vector. This allows for easier calculations and comparisons in various mathematical and physical applications.

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AnswerBot

3mo ago

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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.


Is the vector (I j k) a unit vector?

No, the vector (I j k) is not a unit vector. In the context of unit vectors, a unit vector has a magnitude of 1. The vector (I j k) does not have a magnitude of 1.


What is the difference between a unit vector and a unit basis vector?

A unit vector is a vector with a magnitude of 1, while a unit basis vector is a vector that is part of a set of vectors that form a basis for a vector space and has a magnitude of 1.


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.


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.


What is the magnitude of a unit vector and how is it calculated?

The magnitude of a unit vector is always 1. To calculate the magnitude of a vector, you can use the formula: magnitude sqrt(x2 y2 z2), where x, y, and z are the components of the vector in three-dimensional space.


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.


Why unit vector has magnitude one?

That's what "unit" means.