Find the Unit Vector in the Same Direction as a Given Vector - Pre-Calculus
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Find the unit vector that is in the same direction as the vector ![\vec{v}= [3,6,1]](https://vt-vtwa-assets.varsitytutors.com/vt-vtwa/uploads/formula_image/image/311657/gif.latex)
Find the unit vector that is in the same direction as the vector
To find the unit vector in the same direction as a vector, we divide it by its magnitude.
The magnitude of
is
.
We divide vector
by its magnitude to get the unit vector
:
![\vec{u}_v= \frac{\vec{v}}{\left | \vec{v} \right |}=\frac{1}{\sqrt{46}}\cdot[3,6,1]](https://vt-vtwa-assets.varsitytutors.com/vt-vtwa/uploads/formula_image/image/311662/gif.latex)
or
![\vec{u}_v= \left [ {\frac{3}{\sqrt{46}}},\frac{6}{\sqrt{46}} , \frac{1}{\sqrt{46}} \right ]](https://vt-vtwa-assets.varsitytutors.com/vt-vtwa/uploads/formula_image/image/311663/gif.latex)
All unit vectors have a magnitude of
, so to verify we are correct:

To find the unit vector in the same direction as a vector, we divide it by its magnitude.
The magnitude of is
.
We divide vector by its magnitude to get the unit vector
:
or
All unit vectors have a magnitude of , so to verify we are correct:
Compare your answer with the correct one above
A unit vector has length
.
Given the vector

find the unit vector in the same direction.
A unit vector has length .
Given the vector
find the unit vector in the same direction.
First, you must find the length of the vector. This is given by the equation:

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

First, you must find the length of the vector. This is given by the equation:
Then, dividing the vector by its length gives the unit vector in the same direction.
Compare your answer with the correct one above
Put the vector
in unit vector form.
Put the vector in unit vector form.
To get the unit vector that is in the same direction as the original vector
, we divide the vector by the magnitude of the vector.
For
, the magnitude is:

.
This means the unit vector in the same direction of
is,
.
To get the unit vector that is in the same direction as the original vector , we divide the vector by the magnitude of the vector.
For , the magnitude is:
.
This means the unit vector in the same direction of is,
.
Compare your answer with the correct one above
Find the unit vector of
.
Find the unit vector of
.
In order to find the unit vector u of a given vector v, we follow the formula

Let

The magnitude of v follows the formula
.
For this vector in the problem



.
Following the unit vector formula and substituting for the vector and magnitude
.
As such,
.
In order to find the unit vector u of a given vector v, we follow the formula
Let
The magnitude of v follows the formula
.
For this vector in the problem
.
Following the unit vector formula and substituting for the vector and magnitude
.
As such,
.
Compare your answer with the correct one above
Find the unit vector of

Find the unit vector of
In order to find the unit vector u of a given vector v, we follow the formula

Let

The magnitude of v follows the formula

For this vector in the problem




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

As such,

In order to find the unit vector u of a given vector v, we follow the formula
Let
The magnitude of v follows the formula
For this vector in the problem
Following the unit vector formula and substituting for the vector and magnitude
As such,
Compare your answer with the correct one above
Find the unit vector that is in the same direction as the vector ![\vec{v}= [3,6,1]](https://vt-vtwa-assets.varsitytutors.com/vt-vtwa/uploads/formula_image/image/311657/gif.latex)
Find the unit vector that is in the same direction as the vector
To find the unit vector in the same direction as a vector, we divide it by its magnitude.
The magnitude of
is
.
We divide vector
by its magnitude to get the unit vector
:
![\vec{u}_v= \frac{\vec{v}}{\left | \vec{v} \right |}=\frac{1}{\sqrt{46}}\cdot[3,6,1]](https://vt-vtwa-assets.varsitytutors.com/vt-vtwa/uploads/formula_image/image/311662/gif.latex)
or
![\vec{u}_v= \left [ {\frac{3}{\sqrt{46}}},\frac{6}{\sqrt{46}} , \frac{1}{\sqrt{46}} \right ]](https://vt-vtwa-assets.varsitytutors.com/vt-vtwa/uploads/formula_image/image/311663/gif.latex)
All unit vectors have a magnitude of
, so to verify we are correct:

To find the unit vector in the same direction as a vector, we divide it by its magnitude.
The magnitude of is
.
We divide vector by its magnitude to get the unit vector
:
or
All unit vectors have a magnitude of , so to verify we are correct:
Compare your answer with the correct one above
A unit vector has length
.
Given the vector

find the unit vector in the same direction.
A unit vector has length .
Given the vector
find the unit vector in the same direction.
First, you must find the length of the vector. This is given by the equation:

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

First, you must find the length of the vector. This is given by the equation:
Then, dividing the vector by its length gives the unit vector in the same direction.
Compare your answer with the correct one above
Put the vector
in unit vector form.
Put the vector in unit vector form.
To get the unit vector that is in the same direction as the original vector
, we divide the vector by the magnitude of the vector.
For
, the magnitude is:

.
This means the unit vector in the same direction of
is,
.
To get the unit vector that is in the same direction as the original vector , we divide the vector by the magnitude of the vector.
For , the magnitude is:
.
This means the unit vector in the same direction of is,
.
Compare your answer with the correct one above
Find the unit vector of
.
Find the unit vector of
.
In order to find the unit vector u of a given vector v, we follow the formula

Let

The magnitude of v follows the formula
.
For this vector in the problem



.
Following the unit vector formula and substituting for the vector and magnitude
.
As such,
.
In order to find the unit vector u of a given vector v, we follow the formula
Let
The magnitude of v follows the formula
.
For this vector in the problem
.
Following the unit vector formula and substituting for the vector and magnitude
.
As such,
.
Compare your answer with the correct one above
Find the unit vector of

Find the unit vector of
In order to find the unit vector u of a given vector v, we follow the formula

Let

The magnitude of v follows the formula

For this vector in the problem




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

As such,

In order to find the unit vector u of a given vector v, we follow the formula
Let
The magnitude of v follows the formula
For this vector in the problem
Following the unit vector formula and substituting for the vector and magnitude
As such,
Compare your answer with the correct one above
Find the unit vector that is in the same direction as the vector ![\vec{v}= [3,6,1]](https://vt-vtwa-assets.varsitytutors.com/vt-vtwa/uploads/formula_image/image/311657/gif.latex)
Find the unit vector that is in the same direction as the vector
To find the unit vector in the same direction as a vector, we divide it by its magnitude.
The magnitude of
is
.
We divide vector
by its magnitude to get the unit vector
:
![\vec{u}_v= \frac{\vec{v}}{\left | \vec{v} \right |}=\frac{1}{\sqrt{46}}\cdot[3,6,1]](https://vt-vtwa-assets.varsitytutors.com/vt-vtwa/uploads/formula_image/image/311662/gif.latex)
or
![\vec{u}_v= \left [ {\frac{3}{\sqrt{46}}},\frac{6}{\sqrt{46}} , \frac{1}{\sqrt{46}} \right ]](https://vt-vtwa-assets.varsitytutors.com/vt-vtwa/uploads/formula_image/image/311663/gif.latex)
All unit vectors have a magnitude of
, so to verify we are correct:

To find the unit vector in the same direction as a vector, we divide it by its magnitude.
The magnitude of is
.
We divide vector by its magnitude to get the unit vector
:
or
All unit vectors have a magnitude of , so to verify we are correct:
Compare your answer with the correct one above
A unit vector has length
.
Given the vector

find the unit vector in the same direction.
A unit vector has length .
Given the vector
find the unit vector in the same direction.
First, you must find the length of the vector. This is given by the equation:

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

First, you must find the length of the vector. This is given by the equation:
Then, dividing the vector by its length gives the unit vector in the same direction.
Compare your answer with the correct one above
Put the vector
in unit vector form.
Put the vector in unit vector form.
To get the unit vector that is in the same direction as the original vector
, we divide the vector by the magnitude of the vector.
For
, the magnitude is:

.
This means the unit vector in the same direction of
is,
.
To get the unit vector that is in the same direction as the original vector , we divide the vector by the magnitude of the vector.
For , the magnitude is:
.
This means the unit vector in the same direction of is,
.
Compare your answer with the correct one above
Find the unit vector of
.
Find the unit vector of
.
In order to find the unit vector u of a given vector v, we follow the formula

Let

The magnitude of v follows the formula
.
For this vector in the problem



.
Following the unit vector formula and substituting for the vector and magnitude
.
As such,
.
In order to find the unit vector u of a given vector v, we follow the formula
Let
The magnitude of v follows the formula
.
For this vector in the problem
.
Following the unit vector formula and substituting for the vector and magnitude
.
As such,
.
Compare your answer with the correct one above
Find the unit vector of

Find the unit vector of
In order to find the unit vector u of a given vector v, we follow the formula

Let

The magnitude of v follows the formula

For this vector in the problem




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

As such,

In order to find the unit vector u of a given vector v, we follow the formula
Let
The magnitude of v follows the formula
For this vector in the problem
Following the unit vector formula and substituting for the vector and magnitude
As such,
Compare your answer with the correct one above
Find the unit vector that is in the same direction as the vector ![\vec{v}= [3,6,1]](https://vt-vtwa-assets.varsitytutors.com/vt-vtwa/uploads/formula_image/image/311657/gif.latex)
Find the unit vector that is in the same direction as the vector
To find the unit vector in the same direction as a vector, we divide it by its magnitude.
The magnitude of
is
.
We divide vector
by its magnitude to get the unit vector
:
![\vec{u}_v= \frac{\vec{v}}{\left | \vec{v} \right |}=\frac{1}{\sqrt{46}}\cdot[3,6,1]](https://vt-vtwa-assets.varsitytutors.com/vt-vtwa/uploads/formula_image/image/311662/gif.latex)
or
![\vec{u}_v= \left [ {\frac{3}{\sqrt{46}}},\frac{6}{\sqrt{46}} , \frac{1}{\sqrt{46}} \right ]](https://vt-vtwa-assets.varsitytutors.com/vt-vtwa/uploads/formula_image/image/311663/gif.latex)
All unit vectors have a magnitude of
, so to verify we are correct:

To find the unit vector in the same direction as a vector, we divide it by its magnitude.
The magnitude of is
.
We divide vector by its magnitude to get the unit vector
:
or
All unit vectors have a magnitude of , so to verify we are correct:
Compare your answer with the correct one above
A unit vector has length
.
Given the vector

find the unit vector in the same direction.
A unit vector has length .
Given the vector
find the unit vector in the same direction.
First, you must find the length of the vector. This is given by the equation:

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

First, you must find the length of the vector. This is given by the equation:
Then, dividing the vector by its length gives the unit vector in the same direction.
Compare your answer with the correct one above
Put the vector
in unit vector form.
Put the vector in unit vector form.
To get the unit vector that is in the same direction as the original vector
, we divide the vector by the magnitude of the vector.
For
, the magnitude is:

.
This means the unit vector in the same direction of
is,
.
To get the unit vector that is in the same direction as the original vector , we divide the vector by the magnitude of the vector.
For , the magnitude is:
.
This means the unit vector in the same direction of is,
.
Compare your answer with the correct one above
Find the unit vector of
.
Find the unit vector of
.
In order to find the unit vector u of a given vector v, we follow the formula

Let

The magnitude of v follows the formula
.
For this vector in the problem



.
Following the unit vector formula and substituting for the vector and magnitude
.
As such,
.
In order to find the unit vector u of a given vector v, we follow the formula
Let
The magnitude of v follows the formula
.
For this vector in the problem
.
Following the unit vector formula and substituting for the vector and magnitude
.
As such,
.
Compare your answer with the correct one above
Find the unit vector of

Find the unit vector of
In order to find the unit vector u of a given vector v, we follow the formula

Let

The magnitude of v follows the formula

For this vector in the problem




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

As such,

In order to find the unit vector u of a given vector v, we follow the formula
Let
The magnitude of v follows the formula
For this vector in the problem
Following the unit vector formula and substituting for the vector and magnitude
As such,
Compare your answer with the correct one above