Given that $\mathbf{a} = egin{pmatrix} 2 \ 3 \end{pmatrix}$ and $\mathbf{b} = egin{pmatrix} -1 \ 4 \end{pmatrix}$, find the vector ( mathbf{c} ) such that ( mathbf{c} ) is perpendicular to both ( mathbf{a} ) and ( mathbf{b} ).

Question

Given that $\mathbf{a} = egin{pmatrix} 2 \ 3 \end{pmatrix}$ and $\mathbf{b} = egin{pmatrix} -1 \ 4 \end{pmatrix}$, find the vector ( mathbf{c} ) such that ( mathbf{c} ) is perpendicular to both ( mathbf{a} ) and ( mathbf{b} ).

Accepted Answer

$egin{pmatrix} 7 \ -6 \end{pmatrix}$

Post Utme Osustech 2018 Mathematics Question 36

Given that \(\mathbf{a} = egin{pmatrix} 2 \ 3 \end{pmatrix}\) and \(\mathbf{b} = egin{pmatrix} -1 \ 4 \end{pmatrix}\), find the vector ( mathbf{c} ) such that ( mathbf{c} ) is perpendicular to both ( mathbf{a} ) and ( mathbf{b} ).

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Post Utme Osustech 2018 Mathematics Question 36

Given that \(\mathbf{a} = egin{pmatrix} 2 \ 3 \end{pmatrix}\) and \(\mathbf{b} = egin{pmatrix} -1 \ 4 \end{pmatrix}\), find the vector ( mathbf{c} ) such that ( mathbf{c} ) is perpendicular to both ( mathbf{a} ) and ( mathbf{b} ).

Answer Options

About This Question

Master the Exam!

Given that \(\mathbf{a} = egin{pmatrix} 2 \ 3 \end{pmatrix}\) and \(\mathbf{b} = egin{pmatrix} -1 \ 4 \end{pmatrix}\), find the vector ( mathbf{c} ) such that ( mathbf{c} ) is perpendicular to both ( mathbf{a} ) and ( mathbf{b} ).