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Home » If \(u = kt\) and \(v = t^2 + 1\), then - Feedz API

If \(u = kt\) and \(v = t^2 + 1\), then - Feedz API

📅 May 17, 2026 👤 scraface

May 17, 2026

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\|\mathbf{v}\| = \sqrt{(-1)^2 + 2^2} = \sqrt{1 + 4} = \sqrt{5}
Now, substitute these into the formula:
= 5 \cdot \sqrt{5} \cdot \cos \theta
Solve for $\cos \theta$:
\cos \theta = \frac{5}{5 \cdot \sqrt{5}} = \frac{1}{\sqrt{5}} = \frac{...
\boxed{\frac{\sqrt{5}}{5}}
An astrophysics researcher models the trajectory of a star near a blac...
A vector $\mathbf{c}$ orthogonal to both $\mathbf{a}$ and $\mathbf{b}$...
\mathbf{c} = \mathbf{a} \times \mathbf{b} = \begin{vmatrix} \mathbf{i}...
Calculate the determinant:

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