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Home » what kind of vegetation is found near the equator - Professionaloutdoormedia

what kind of vegetation is found near the equator - Professionaloutdoormedia

📅 May 16, 2026 👤 scraface

May 16, 2026

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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:
\mathbf{c} = \mathbf{i}((-3)(-2) - (1)(4)) - \mathbf{j}((2)(-2) - (1)(...
= \mathbf{i}(6 - 4) - \mathbf{j}(-4 - 1) + \mathbf{k}(8 + 3)
= \mathbf{i}(2) + \mathbf{j}(5) + \mathbf{k}(11)
= \begin{pmatrix} 2 \\ 5 \\ 11 \end{pmatrix}
Thus, the vector orthogonal to both $\mathbf{a}$ and $\mathbf{b}$ is:
\boxed{\begin{pmatrix} 2 \\ 5 \\ 11 \end{pmatrix}}

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