The vectors $\mathbf{a} = egin{pmatrix} 2 \ 3 \end{pmatrix}$ and $\mathbf{b} = egin{pmatrix} -1 \ 4 \end{pmatrix}$ are given. Find the vector ( mathbf{c} ) such that ( mathbf{c} ) is perpendicular to both ( mathbf{a} ) and ( mathbf{b} ).

Question

The vectors $\mathbf{a} = egin{pmatrix} 2 \ 3 \end{pmatrix}$ and $\mathbf{b} = egin{pmatrix} -1 \ 4 \end{pmatrix}$ are given. Find the vector ( mathbf{c} ) such that ( mathbf{c} ) is perpendicular to both ( mathbf{a} ) and ( mathbf{b} ).

Accepted Answer

$egin{pmatrix} 7 \ -2 \end{pmatrix}$

Post Utme Uniben 2023 Mathematics Question 31

The vectors \(\mathbf{a} = egin{pmatrix} 2 \ 3 \end{pmatrix}\) and \(\mathbf{b} = egin{pmatrix} -1 \ 4 \end{pmatrix}\) are given. Find the vector ( mathbf{c} ) such that ( mathbf{c} ) is perpendicular to both ( mathbf{a} ) and ( mathbf{b} ).

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Post Utme Uniben 2023 Mathematics Question 31

The vectors \(\mathbf{a} = egin{pmatrix} 2 \ 3 \end{pmatrix}\) and \(\mathbf{b} = egin{pmatrix} -1 \ 4 \end{pmatrix}\) are given. Find the vector ( mathbf{c} ) such that ( mathbf{c} ) is perpendicular to both ( mathbf{a} ) and ( mathbf{b} ).

Answer Options

About This Question

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The vectors \(\mathbf{a} = egin{pmatrix} 2 \ 3 \end{pmatrix}\) and \(\mathbf{b} = egin{pmatrix} -1 \ 4 \end{pmatrix}\) are given. Find the vector ( mathbf{c} ) such that ( mathbf{c} ) is perpendicular to both ( mathbf{a} ) and ( mathbf{b} ).