Question

What are unit Vectors???

Answer 1

A vector of unit magnitude is called a unit vector . It has the same direction as that of the given vector .

A unit vector of

$\overrightarrow{A}$

is written as

$\widehat{A}$

and is read as A cap.

$\overrightarrow{A} = A$

$\widehat{A} = \dfrac{\overrightarrow{A}}{A}$

where A = magnitude of

$\overrightarrow{A}$

So, a unit vector in a given direction can also be defined as a vector in that direction divided by the magnitude of the given vector.

It has not unit and dimension. It represents direction only.

Example- are the unit vectors along x axis , y axis and z axis respectively.

Answer 2

Question

:- what are unit vectors ??

ANSWER

:- Unit vectors are vectors whose magnitude is exactly 1 unit. They are very useful for different reasons. Specifically, the unit vectors [0,1] and [1,0] can form together any other vector.