Post Utme Achievers University 2023 Mathematics Question 11

Practice objective / multiple choice question 11 from the 2023 Post Utme Achievers University Mathematics examination.

Post Utme Achievers University 2023 Mathematics Objective / Multiple Choice
Question 11 POST_UTME_ACHIEVERS_UNIVERSITY • 2023 • MATHEMATICS • objective

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} ).

Answer Options

Correct Answer A. \begin{pmatrix} \(\frac{7}{13}\)\) \\ \(\frac{12}{13}\)\) \end{pmatrix}
B. \begin{pmatrix} \(\frac{1}{13}\)\) \\ -\(\frac{2}{13}\)\) \end{pmatrix}
C. \begin{pmatrix} \(\frac{2}{13}\)\) \\ -\(\frac{3}{13}\)\) \end{pmatrix}
D. \begin{pmatrix} \(\frac{3}{13}\)\) \\ -\(\frac{4}{13}\)\) \end{pmatrix}
Correct Answer
A
Correct Option:
\begin{pmatrix} \(\frac{7}{13}\)\) \\ \(\frac{12}{13}\)\) \end{pmatrix}

About This Question

This is Post Utme Achievers University 2023 Mathematics Question 11. It is one of the objective questions from the 2023 Post Utme Achievers University Mathematics examination.

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