Let us first find the unit vector in the direction of this vector \(\vec a\).
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 \(\vec a\) is given as,
Therefore,
We have found unit vector in the direction of the vector \(\hat i - 2\hat j + 2\hat k\), but we need to find the unit vector in the direction of \(\hat i - 2\hat j + 2\hat k\) but also with the magnitude 9.
We have the formula:
