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captain america: first avenger - Blask

📅 March 9, 2026 👤 scraface

Mar 09, 2026

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🔥 Popular Posts

A civil engineer at the World Bank is designing a sustainable pedestri...
The closest point on a line to a given point is the orthogonal project...
A point on the line: \(\mathbf{r}_0 = egin{pmatrix} 1 \ -2 \end{pmatr...
Direction vector: \(\mathbf{d} = egin{pmatrix} 3 \ 1 \end{pmatrix}\)
Point to project: \(\mathbf{p} = egin{pmatrix} 5 \ 4 \end{pmatrix}\)
Vector from point on line to \(\mathbf{p}\):
\mathbf{v} = \mathbf{p} - \mathbf{r}_0 = egin{pmatrix} 5 - 1 \ 4 - (-...
Project \(\mathbf{v}\) onto \(\mathbf{d}\):
ext{proj}_{\mathbf{d}} \mathbf{v} = \left( rac{\mathbf{v} \cdot \math...
ight) \mathbf{d}

📝 Recent Posts

3^6 &\equiv 3 \cdot 5 = 15 \equiv 1 \mod 7 \\
So the powers of $3 \mod 7$ repeat every 6 terms. The cycle length is...
The sum of one full cycle:
+ 2 + 6 + 4 + 5 + 1 = 21 \equiv 0 \mod 7
Since $24 = 4 \times 6$, the total sum modulo $7$ is:
\sum_{k=1}^{24} 3^k \equiv 4 \cdot 0 = 0 \mod 7
Question: A robotics engineer designs a conveyor belt system where sen...
Solution: We seek the least common multiple (LCM) of $15$ and $25$, wh...
= 3 \cdot 5, \quad 25 = 5^2
The LCM takes the highest power of each prime:

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