Let $\mathbf{a} = egin{pmatrix} 2 \ 3 \end{pmatrix}$ and $\mathbf{b} = egin{pmatrix} 1 \ -2 end{pmatrix}$. Find the projection of ( mathbf{b} ) onto ( mathbf{a} ) using the formula $\(end{pmatrix}). Find the projection of ( mathbf{b} ) onto ( mathbf{a} ) using the formula \mathrm{proj}_{\mathbf{a}} \mathbf{b} = \frac{\mathbf{a} \cdot \mathbf{b}}{| \mathbf{a} |^2} \mathbf{a}$.

Question

Let $\mathbf{a} = egin{pmatrix} 2 \ 3 \end{pmatrix}$ and $\mathbf{b} = egin{pmatrix} 1 \ -2 end{pmatrix}$. Find the projection of ( mathbf{b} ) onto ( mathbf{a} ) using the formula $\(end{pmatrix}). Find the projection of ( mathbf{b} ) onto ( mathbf{a} ) using the formula \mathrm{proj}_{\mathbf{a}} \mathbf{b} = \frac{\mathbf{a} \cdot \mathbf{b}}{| \mathbf{a} |^2} \mathbf{a}$.

Accepted Answer

\begin{pmatrix} $\frac{4}{13}$\) \ $\frac{6}{13}$\) \end{pmatrix}

Post Utme Christopher University 2025 Mathematics Question 16

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