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Home » Volume of a cylinder = Ï * rÂ² * h - 500apps

Volume of a cylinder = Ï * rÂ² * h - 500apps

📅 March 13, 2026 👤 scraface

Mar 13, 2026

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\cos \phi = rac{z}{
ho}, \quad ext{so} \quad
ho = rac{4}{2 + rac{z}{
Multiply both sides by $ 2 + rac{z}{
ho} $:
ho \left(2 + rac{z}{
ight) = 4 \Rightarrow 2
ho + z = 4 \Rightarrow 2
ho = 4 - z.
Now substitute $

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Thus, the vector orthogonal to both $\mathbf{a}$ and $\mathbf{b}$ is:
\boxed{\begin{pmatrix} 2 \\ 5 \\ 11 \end{pmatrix}}
An angel investor evaluates a biotech startup's growth vector $\mathbf...
To find the unit vector $\mathbf{u}$, compute the magnitude of $\mathb...
\|\mathbf{g}\| = \sqrt{7^2 + 24^2} = \sqrt{49 + 576} = \sqrt{625} = 25
The unit vector is:
\mathbf{u} = \frac{1}{\|\mathbf{g}\|} \mathbf{g} = \frac{1}{25} \begin...
Thus, the normalized vector is:
\boxed{\begin{pmatrix} \frac{7}{25} \\ \frac{24}{25} \end{pmatrix}}
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