Answer:
This vector make an angle of 141° with the positive x axis
Step-by-step explanation:
Refer the attached figure
Components of vector :
[tex]A_x=-10 \\A_y = 8[/tex]
We are supposed to find What angle does this vector make with the positive x axis
[tex]tan \theta =\frac{A_y}{A_x}\\tan \theta =\frac{8}{-10}\\\theta =tan^{-1}(\frac{8}{-10})\\\theta =tan^{-1}(\frac{8}{-10})=-38.65^{\circ}[/tex]
Now ,
[tex]\alpha = 180-38.65=141.35^{\circ}[/tex]
So, this vector make an angle of 141° with the positive x axis
