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Home » Hence, the number of distinct circular arrangements is $oxed120$. - Parker Core Knowledge

Hence, the number of distinct circular arrangements is $oxed120$. - Parker Core Knowledge

📅 May 6, 2026 👤 scraface

May 06, 2026

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Project \(\mathbf{v}\) onto \(\mathbf{d}\):
ext{proj}_{\mathbf{d}} \mathbf{v} = \left( rac{\mathbf{v} \cdot \math...
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
Projection scalar:
t = rac{18}{10} = 1.8
Add \(t\mathbf{d}\) to \(\mathbf{r}_0\):
egin{pmatrix} 1 \ -2 \end{pmatrix} + 1.8 egin{pmatrix} 3 \ 1 \end{pm...

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