Question

reflect the vector $\langle -3,8\
angle$ across the line $y = -x$.$\langle -8 , ? \
angle$

Explanation:

Step1: Recall the reflection formula

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

Step2: Apply the formula

Given the vector \((-3,8)\), here \(x=-3\) and \(y = 8\).
Using the formula \((-y,-x)\), we substitute \(y = 8\) and \(x=-3\).
So, \(-y=-8\) and \(-x = 3\).

Answer:

\(3\)