Waec Model Questions Vol1 2020 Mathematics Question 12

Practice objective / multiple choice question 12 from the 2020 Waec Model Questions Vol1 Mathematics examination.

Waec Model Questions Vol1 2020 Mathematics Objective / Multiple Choice Hard Difficulty
Question 12 WAEC_MODEL_QUESTIONS_VOL1 • 2020 • MATHEMATICS • objective

In the plane, let vector \(\mathbf{a}\) have magnitude 5 and lie along the positive x‑axis. Vector \(\mathbf{b}\) has magnitude 8 and makes an angle of 60° with \(\mathbf{a}\). A third vector \(\mathbf{c}\) has magnitude 7 and satisfies \((\mathbf{a}+\mathbf{c})\) \(\perp\) \(\mathbf{b}\). Find the greatest possible magnitude of \(\mathbf{a}+\mathbf{b}+\mathbf{c}\). Give your answer to one decimal place.

Answer Options

A. 12.8
Correct Answer B. 13.5
C. 14.2
D. 11.9
Correct Answer
B
Correct Option:
13.5

About This Question

This is Waec Model Questions Vol1 2020 Mathematics Question 12. It is one of the objective questions from the 2020 Waec Model Questions Vol1 Mathematics examination.

Difficulty level: Hard .

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