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Home » = 2^2 \times 3^1 \times 5^1 - Malaeb

= 2^2 \times 3^1 \times 5^1 - Malaeb

📅 May 3, 2026 👤 scraface

May 03, 2026

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📌 Vector from point on line to \(\mathbf{p}\):

📌 \mathbf{v} = \mathbf{p} - \mathbf{r}_0 = egin{pmatrix} 5 - 1 \ 4 - (-2) \end{pmatrix} = egin{pmatrix} 4 \ 6 \end{pmatrix}

📌 Project \(\mathbf{v}\) onto \(\mathbf{d}\):

📌 ext{proj}_{\mathbf{d}} \mathbf{v} = \left( rac{\mathbf{v} \cdot \mathbf{d}}{\mathbf{d} \cdot \mathbf{d}}

📌 ight) \mathbf{d}

📌 Compute dot products:

📌 \mathbf{v} \cdot \mathbf{d} = 4 \cdot 3 + 6 \cdot 1 = 12 + 6 = 18

📌 \mathbf{d} \cdot \mathbf{d} = 3^2 + 1^2 = 9 + 1 = 10

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