Question

by which angle must \\(\overline{ab}\\) turn about point \\(a\\) in the clockwise direction so that it coincides with \\(\overline{ae}\\)?\
\
a. \\(90^\circ\\)\
b. \\(180^\circ\\)\
c. \\(270^\circ\\)\
d. \\(360^\circ\\)

Explanation:

Step1: Identify ray positions

$\overrightarrow{AB}$ points left along x-axis; $\overrightarrow{AE}$ points right along x-axis.

Step2: Calculate clockwise rotation

A 180° clockwise rotation reverses the ray's direction, aligning $\overrightarrow{AB}$ with $\overrightarrow{AE}$.

Answer:

B. $180^\circ$