What is a unit vector? Explain.

(N/A) vector whose magnitude is $1$ unit is called a unit vector.
It represents the direction of a vector.
It does not have any unit or dimensions.
In a Cartesian coordinate system,the unit vectors along the $x, y,$ and $z$ axes are denoted by $\hat{i}, \hat{j},$ and $\hat{k}$ respectively.
Since the magnitude of a unit vector is $1$,we have:
$|\hat{i}| = |\hat{j}| = |\hat{k}| = 1$
These vectors are mutually perpendicular to each other.
$A$ unit vector can be obtained by dividing a vector by its magnitude.
Example: If the unit vector of $\vec{A}$ is $\hat{n}$,then:
$\hat{n} = \frac{\vec{A}}{|\vec{A}|} = \frac{\vec{A}}{A} = \frac{\text{vector}}{\text{magnitude of vector}}$
According to this equation,$\vec{A} = |\vec{A}| \cdot \hat{n}$
Vector $=$ (Magnitude of vector) $\times$ (Its unit vector)
Example: $A$ force of $5 \text{ N}$ acting along the $X$-axis can be represented as: $\vec{F} = 5\hat{i} \text{ N}$.