Neco 2025 Further Mathematics Question 25

Practice objective / multiple choice question 25 from the 2025 Neco Further Mathematics examination.

Neco 2025 Further Mathematics Objective / Multiple Choice Medium Difficulty
Question 25 NECO • 2025 • FURTHER_MATHEMATICS • objective

In the plane, vectors \(\mathbf{u}\) and \(\mathbf{v}\) have magnitudes \(|\mathbf{u}|=5\) and \(|\mathbf{v}|=12\) respectively, and the angle between them is \(60^{\circ}\).\n\nLet \(\mathbf{w}=2\mathbf{u}-\mathbf{v}\).\n\n(a) Find the magnitude \(|\mathbf{w}|\).\n(b) Determine the angle between \(\mathbf{w}\) and \(\mathbf{u}\) (to the nearest degree).

Answer Options

A. |\\mathbf{w}| = 2\\sqrt{31}, angle \\approx 60^{\\circ}
B. |\\mathbf{w}| = \\sqrt{31}, angle \\approx 69^{\\circ}
Correct Answer C. |\mathbf{w}| = 2\sqrt{31}, angle \approx 69^{\circ}
D. |\\mathbf{w}| = 2\\sqrt{30}, angle \\approx 69^{\\circ}
Correct Answer
C
Correct Option:
|\mathbf{w}| = 2\sqrt{31}, angle \approx 69^{\circ}

About This Question

This is Neco 2025 Further Mathematics Question 25. It is one of the objective questions from the 2025 Neco Further Mathematics examination.

Difficulty level: Medium .

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