Question

reflect the vector \\( \langle 3, - 7 \
angle \\) across the x - axis. \\( \langle ?, \
angle \\)

Explanation:

Step1: Recall reflection rule

When reflecting a vector \(\langle x,y
angle\) across the \(x\) - axis, the rule is \(\langle x,y
angle
ightarrow\langle x, - y
angle\).

Step2: Apply the rule

Given the vector \(\langle3,-7
angle\), here \(x = 3\) and \(y=-7\). Using the reflection rule \(\langle x,y
angle
ightarrow\langle x, - y
angle\), we substitute \(y=-7\) into \(-y\). So \(-y=-(-7) = 7\).

Answer:

\(\langle3,7
angle\)