Find the vector ( mathbf{a} ) such that $\mathbf{a} \cdot \mathbf{b} = 10$ and $\mathbf{a} \cdot \mathbf{c} = 5$, where $\mathbf{b} = egin{pmatrix} 2 \ 3 \end{pmatrix}$ and $\mathbf{c} = egin{pmatrix} 1 \ 4 \end{pmatrix}$.

Question

Find the vector ( mathbf{a} ) such that $\mathbf{a} \cdot \mathbf{b} = 10$ and $\mathbf{a} \cdot \mathbf{c} = 5$, where $\mathbf{b} = egin{pmatrix} 2 \ 3 \end{pmatrix}$ and $\mathbf{c} = egin{pmatrix} 1 \ 4 \end{pmatrix}$.

Accepted Answer

$egin{pmatrix} 5 \ 2 \end{pmatrix}$

Post Utme Uniport 2018 Mathematics Question 40

Find the vector ( mathbf{a} ) such that \(\mathbf{a} \cdot \mathbf{b} = 10\) and \(\mathbf{a} \cdot \mathbf{c} = 5\), where \(\mathbf{b} = egin{pmatrix} 2 \ 3 \end{pmatrix}\) and \(\mathbf{c} = egin{pmatrix} 1 \ 4 \end{pmatrix}\).

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Post Utme Uniport 2018 Mathematics Question 40

Find the vector ( mathbf{a} ) such that \(\mathbf{a} \cdot \mathbf{b} = 10\) and \(\mathbf{a} \cdot \mathbf{c} = 5\), where \(\mathbf{b} = egin{pmatrix} 2 \ 3 \end{pmatrix}\) and \(\mathbf{c} = egin{pmatrix} 1 \ 4 \end{pmatrix}\).

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Find the vector ( mathbf{a} ) such that \(\mathbf{a} \cdot \mathbf{b} = 10\) and \(\mathbf{a} \cdot \mathbf{c} = 5\), where \(\mathbf{b} = egin{pmatrix} 2 \ 3 \end{pmatrix}\) and \(\mathbf{c} = egin{pmatrix} 1 \ 4 \end{pmatrix}\).