Answer
$$ e_w =\left\langle\frac{24}{25},\frac{7}{25}\right\rangle.$$
Work Step by Step
$$ e_w=\frac{w}{\|w\|}=\frac{\langle24,7\rangle}{\sqrt{576+49}}=\left\langle\frac{24}{25},\frac{7}{25}\right\rangle.$$
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