Post Utme Oau 2024 Mathematics Question 12

Practice objective / multiple choice question 12 from the 2024 Post Utme Oau Mathematics examination.

Post Utme Oau 2024 Mathematics Objective / Multiple Choice Hard Difficulty
Question 12 POST_UTME_OAU • 2024 • MATHEMATICS • objective

In the diagram below, vectors \( \mathbf{u} \) and \( \mathbf{v} \) originate from O with magnitudes \( |\mathbf{u}|=5 \) and \( |\mathbf{v}|=4 \). The angle between them is \( 60^{\circ} \). Vector \( \mathbf{w}=2\mathbf{u}-3\mathbf{v} \). What is \( |\mathbf{w}| \)?

Answer Options

A. \sqrt{120}
B. 12
C. 11
Correct Answer D. 2\sqrt{31}
Correct Answer
D
Correct Option:
2\sqrt{31}

About This Question

This is Post Utme Oau 2024 Mathematics Question 12. It is one of the objective questions from the 2024 Post Utme Oau Mathematics examination.

Difficulty level: Hard .

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