The vector in the direction of the vector 
that has magnitude 9 is
Given is the vector 
.
Let this vector be 
, such that
Let us first find the unit vector in the direction of this vector 
.
We know that, a unit vector in a normed vector space is a vector (often a spatial vector) of length 1.
To find a unit vector with the same direction as a given vector, we divide by the magnitude of the vector.
Unit vector in the direction of the vector 
is given as,
As, we have 
.
Then, 
[∵ if 
]
Therefore,
[∵ 
and 
]
We have found unit vector in the direction of the vector 
, but we need to find the unit vector in the direction of 
but also with the magnitude 9.
We have the formula:
Vector in the direction of
with a magnitude of 9
And 
as just found.
So,
⇒Vector in the direction of
with a magnitude of 9=
Thus, vector in the direction of vector 
and has magnitude 9 is 
.