Let $\mathbf{a} = egin{pmatrix} 2 \ 3 \end{pmatrix}$ and $\mathbf{b} = egin{pmatrix} 1 \ -1 end{pmatrix}$. 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 $\mathbf{b} = egin{pmatrix} 1 \ -1 end{pmatrix}$. 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} 0.5 \ 0.75 \end{pmatrix}

Post Utme Pan Atlantic University 2017 Mathematics Question 36

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