Neco 2024 Mathematics Question 26

Practice objective / multiple choice question 26 from the 2024 Neco Mathematics examination.

Neco 2024 Mathematics Objective / Multiple Choice Hard Difficulty
Question 26 NECO • 2024 • MATHEMATICS • objective

In the plane, let vectors \(\mathbf{a}\) and \(\mathbf{b}\) satisfy \(|\mathbf{a}| = 5\) and \(|\mathbf{b}| = 3\). It is also given that \(\mathbf{a} + 2\mathbf{b}\) is perpendicular to \(3\mathbf{a} - \mathbf{b}\). Find the magnitude of \(\mathbf{a} + \mathbf{b}\) in simplest surd form.

Answer Options

A. \frac{2\sqrt{35}}{5}
Correct Answer B. \frac{2\sqrt{70}}{5}
C. \frac{2\sqrt{70}}{7}
D. \frac{4\sqrt{70}}{5}
Correct Answer
B
Correct Option:
\frac{2\sqrt{70}}{5}

About This Question

This is Neco 2024 Mathematics Question 26. It is one of the objective questions from the 2024 Neco Mathematics examination.

Difficulty level: Hard .

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