Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

reflect the vector $\\langle -3,5 \ angle$ across the y - axis. $\\lang…

Question

reflect the vector $\langle -3,5 \
angle$ across the y - axis. $\langle \square, \square \
angle$

Explanation:

Step1: Recall reflection rule

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

Step2: Apply the rule

Given the vector \(\langle - 3,5
angle\), substitute \(x=-3\) and \(y = 5\) into the rule. Then \(-x=-(-3)=3\) and \(y = 5\) remains the same.

Answer:

\(\langle3,5
angle\)