Question

rotate the vector $\langle -3,5\
angle$ $270^{circ}$ degrees clockwise about the origin. $\langle \square,\square\
angle$

Explanation:

Step1: Recall rotation formula

The formula for rotating a vector \(\langle x,y
angle\) \(270^{\circ}\) clockwise about the origin is \(\langle y,-x
angle\).

Step2: Substitute values

Given \(x = - 3\) and \(y = 5\), substitute into the formula.
For the \(x\)-component of the new vector: \(y = 5\).
For the \(y\)-component of the new vector: \(-x=-(-3) = 3\).

Answer:

\(\langle5,3
angle\)