Question

The components of a vector are Ax = –10 units and Ay = 8 units. What angle does this vector make with the positive x axis? g

Answer 1

Answer:

This vector make an angle of 141° with the positive x axis

Step-by-step explanation:

Refer the attached figure

Components of vector :

$A_x=-10 \\A_y = 8$

We are supposed to find  What angle does this vector make with the positive x axis

$tan \theta =\frac{A_y}{A_x}\\tan \theta =\frac{8}{-10}\\\theta =tan^{-1}(\frac{8}{-10})\\\theta =tan^{-1}(\frac{8}{-10})=-38.65^{\circ}$

Now ,

$\alpha = 180-38.65=141.35^{\circ}$

So, this vector make an angle of 141° with the positive x axis