Post Utme Noun 2018 Mathematics Question 36

Practice objective / multiple choice question 36 from the 2018 Post Utme Noun Mathematics examination.

Post Utme Noun 2018 Mathematics Objective / Multiple Choice
Question 36 POST_UTME_NOUN • 2018 • MATHEMATICS • objective

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 \(\\(end{pmatrix}). Find the projection of ( mathbf{b} ) onto ( mathbf{a} ) using the formula \text{proj}_\mathbf{a} \mathbf{b} = \frac{\mathbf{a} \cdot \mathbf{b}}{| \mathbf{a} |^2} \mathbf{a}\).

Answer Options

Correct Answer A. \begin{pmatrix} \(\frac{5}{13}\)\) \ \(\frac{15}{13}\)\) \end{pmatrix}
B. \begin{pmatrix} \(\frac{2}{13}\)\) \ \(\frac{6}{13}\)\) \end{pmatrix}
C. \begin{pmatrix} \(\frac{1}{13}\)\) \ \(\frac{3}{13}\)\) \end{pmatrix}
D. \begin{pmatrix} \(\frac{3}{13}\)\) \ \(\frac{9}{13}\)\) \end{pmatrix}
Correct Answer
A
Correct Option:
\begin{pmatrix} \(\frac{5}{13}\)\) \ \(\frac{15}{13}\)\) \end{pmatrix}

About This Question

This is Post Utme Noun 2018 Mathematics Question 36. It is one of the objective questions from the 2018 Post Utme Noun Mathematics examination.

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