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Home » To find $\cos \theta$, we use the formula for the dot product: - Dachbleche24

To find $\cos \theta$, we use the formula for the dot product: - Dachbleche24

📅 March 9, 2026 👤 scraface

Mar 09, 2026

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3x - 4\left(-\frac{4}{3}x + \frac{10}{3}\right) + 12 = 0
\Rightarrow 3x + \frac{16}{3}x - \frac{40}{3} + 12 = 0
Multiply through by 3:
9x + 16x - 40 + 36 = 0 \Rightarrow 25x - 4 = 0 \Rightarrow x = \frac{4...
Now find \( y \):
y = -\frac{4}{3} \cdot \frac{4}{25} + \frac{10}{3} = -\frac{16}{75} +...
So the closest point is \( \left( \frac{4}{25}, \frac{78}{25} \right)...
Alternatively, use the formula for projection. The distance from point...
answer is the point:
\boxed{\left( \frac{4}{25}, \frac{78}{25} \right)}

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