Question

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

Explanation:

Step1: Recall the rotation matrix for \(270^{\circ}\) clockwise

The rotation matrix for a \(270^{\circ}\) clockwise rotation about the origin is \(

$$\begin{pmatrix}0&1\\-1&0\end{pmatrix}$$

\).

Step2: Apply the matrix to the vector

Given the vector \(

$$\begin{pmatrix}-3\\5\end{pmatrix}$$

\), we multiply it by the rotation matrix:

$$
LATEXBLOCK2

LATEXBLOCK3
=
LATEXBLOCK4
=
LATEXBLOCK5
$$

Answer:

\(\langle5,3
angle\)