Question

reflect the vector $\langle -3,5\
angle$ across the line $y = -x$.

Explanation:

Step1: Recall the reflection formula

The formula for reflecting a vector \(\langle x,y
angle\) across the line \(y = -x\) is \(\langle -y,-x
angle\).

Step2: Apply the formula

Given the vector \(\langle -3,5
angle\), substitute \(x=-3\) and \(y = 5\) into the formula \(\langle -y,-x
angle\).
When \(y = 5\), \(-y=-5\); when \(x=-3\), \(-x = 3\).

Answer:

\(\langle -5,3
angle\)