Question

rotate the vector $\langle - 5,3\
angle$ $180^{circ}$ degrees clockwise about the origin. $\langle\square,\square\
angle$

Explanation:

Step1: Recall the rotation rule

When a vector \(\langle x,y
angle\) is rotated \(180^{\circ}\) clockwise about the origin, the new vector is \(\langle -x,-y
angle\).

Step2: Apply the rule

Given the vector \(\langle - 5,3
angle\), here \(x=-5\) and \(y = 3\).
After rotation, \(x\) becomes \(-(-5)=5\) and \(y\) becomes \(-3\).

Answer:

\(\langle5,-3
angle\)