Question

reflect the vector $\langle 4,13\
angle$ across the line $y = x$.

Explanation:

Step1: Recall the reflection rule

When reflecting a vector \(\langle a,b
angle\) across the line \(y = x\), the rule is \(\langle a,b
angle
ightarrow\langle b,a
angle\).

Step2: Apply the rule

Given the vector \(\langle4,13
angle\), by substituting \(a = 4\) and \(b=13\) into the rule \(\langle a,b
angle
ightarrow\langle b,a
angle\), we get \(\langle13,4
angle\).

Answer:

\(\langle13,4
angle\)