Precalculus aid » Matrices and Vectors » Algebraic Vectors and Parametric Equations » discover the Unit Vector in the same Direction together a given Vector

Find the unit vector the is in the very same direction together the vector 

*


*


*


*


*


Explanation:

To find the unit vector in the exact same direction together a vector, we division it by its magnitude. 

The magnitude of 

*
 is 
*
.

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We divide vector 

*
 by its magnitude to get the unit vector
*
:

*
 

or 

*

All unit vectors have a size of 

*
, so to verify we are correct:

*


Given the vector

*

Then, splitting the vector by its length provides the unit vector in the same direction. 

*


Explanation:

To get the unit vector that is in the exact same direction together the original vector 

*
, we divide the vector by the magnitude of the vector.

For 

*
, the size is:

*

 

*
.

 This method the unit vector in the same direction of 

*
 is, 

*


Find the unit vector of

*

*

*

*
.

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Following the unit vector formula and substituting because that the vector and also magnitude

*

*

*

*

Following the unit vector formula and also substituting for the vector and also magnitude


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