The angle between two unit vectors is 0.1 radians. What is the dot product of these two unit vectors? Type your answer...

Introduction:- 

Let We have two vectors then We know that the dot product of the two vectors is given as 

$\overrightarrow{\mathrm{A}}.\overrightarrow{\mathrm{B}}= \left|\overrightarrow{\mathrm{A}}\right|\left|\overrightarrow{\mathrm{B}}\right|\cos \left(\mathrm{\theta }\right)$

where $\mathrm{\theta }$ is the angle between vector A and Vector B.

We have given that the angle between the unit vector is as 

$$\begin{gathered} \mathrm{\theta }= 0.1 \mathrm{radina} \\ \mathrm{\theta }= 5.729\approx 5.73 \\ \mathbf{\theta }\mathbf{=}\mathbf{ }\mathbf{5}\mathbf{.}\mathbf{73}\mathbf{°} \end{gathered}$$ 

We also know that the unit vector is defined as a vector that has a magnitude and direction. the magnitude of the unit vector is always 1 unit.

$\mathrm{Unit} \mathrm{vector} = \frac{\mathrm{vector} }{\mathrm{magnitude} \mathrm{of} \mathrm{the} \mathrm{vector} }$