Precalculus aid » Matrices and Vectors » Algebraic Vectors and also Parametric Equations » discover the Unit Vector in the very same Direction as a provided Vector

Find the unit vector that is in the exact same direction as the vector 

*


*


*


*


*


Explanation:

To discover the unit vector in the very same direction as a vector, we divide it by its magnitude. 

The size of 

*
 is 
*
.

You are watching: Find a unit vector that has the same direction as the given vector.

We divide vector 

*
 by its magnitude to obtain the unit vector
*
:

*
 

or 

*

All unit vectors have actually a magnitude of 

*
, so to verify we are correct:

*


Given the vector

*

Then, dividing the vector by its length gives the unit vector in the exact same direction. 

*


Explanation:

To gain the unit vector the is in the very same direction together the initial vector 

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

For 

*
, the magnitude is:

*

 

*
.

 This method the unit vector in the exact same direction of 

*
 is, 

*


Find the unit vector of

*

*

*

*
.

See more: How Many Nickels In 17 Dollars ? How Many Nickels Are There In Seventeen Dollars

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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