Neco 2024 Further Mathematics Question 50

Practice objective / multiple choice question 50 from the 2024 Neco Further Mathematics examination.

Neco 2024 Further Mathematics Objective / Multiple Choice Medium Difficulty

Question 50 NECO • 2024 • FURTHER_MATHEMATICS • objective

Vectors \(\mathbf{a}\) and \(\mathbf{b}\) in \(\mathbb{R}^{3}\) satisfy \(|\mathbf{a}|=5\), \(|\mathbf{b}|=7\) and \((\mathbf{a}+2\mathbf{b})\) is perpendicular to \((2\mathbf{a}-\mathbf{b})\). Find \(\cos\theta\), where \(\theta\) is the angle between \(\mathbf{a}\) and \(\mathbf{b}\).

A. \cos\theta = \frac{16}{25}

Correct Answer B. \cos\theta = \frac{16}{35}

C. \cos\theta = \frac{12}{35}

D. \cos\theta = \frac{9}{35}

Correct Answer

Correct Option:

\cos\theta = \frac{16}{35}

This is Neco 2024 Further Mathematics Question 50. It is one of the objective questions from the 2024 Neco Further Mathematics examination.

Difficulty level: Medium .

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