Neco 2024 Further Mathematics Question 25

Practice objective / multiple choice question 25 from the 2024 Neco Further Mathematics examination.

Neco 2024 Further Mathematics Objective / Multiple Choice Hard Difficulty
Question 25 NECO • 2024 • FURTHER_MATHEMATICS • objective

Three vectors \(\mathbf{u}, \mathbf{v}, \mathbf{w}\) in a plane satisfy \(\mathbf{u}+\mathbf{v}+\mathbf{w}=\mathbf{0}\). The magnitudes are \(|\mathbf{u}|=5\) and \(|\mathbf{v}|=7\), and the angle between \(\mathbf{u}\) and \(\mathbf{v}\) is \(120^{\circ}\). Find (i) the magnitude of \(\mathbf{w}\) and (ii) the angle between \(\mathbf{w}\) and \(\mathbf{u}\) (to the nearest degree).

Answer Options

A. |\\mathbf{w}| = \\sqrt{41}, angle \\approx 110^{\\circ}
Correct Answer B. |\mathbf{w}| = \sqrt{39}, angle \approx 104^{\circ}
C. |\\mathbf{w}| = 12, angle \\approx 90^{\\circ}
D. |\\mathbf{w}| = \\sqrt{35}, angle \\approx 95^{\\circ}
Correct Answer
B
Correct Option:
|\mathbf{w}| = \sqrt{39}, angle \approx 104^{\circ}

About This Question

This is Neco 2024 Further Mathematics Question 25. It is one of the objective questions from the 2024 Neco Further Mathematics examination.

Difficulty level: Hard .

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