Neco 2025 Mathematics Question 9

Practice objective / multiple choice question 9 from the 2025 Neco Mathematics examination.

Neco 2025 Mathematics Objective / Multiple Choice Hard Difficulty
Question 9 NECO • 2025 • MATHEMATICS • objective

Vectors \(\mathbf{a}\) and \(\mathbf{b}\) lie in the same plane. It is given that \(|\mathbf{a}| = 5\), \(|\mathbf{a}+\mathbf{b}| = 8\) and \(|\mathbf{a}-\mathbf{b}| = 6\). Determine (i) the magnitude \(|\mathbf{b}|\) and (ii) the angle \(\theta\) between \(\mathbf{a}\) and \(\mathbf{b}\) (in degrees, to the nearest integer).

Answer Options

A. |b| = 4, θ ≈ 45°
B. |b| = 7, θ ≈ 60°
C. |b| = 6, θ ≈ 90°
Correct Answer D. |b| = 5, θ ≈ 74°
Correct Answer
D
Correct Option:
|b| = 5, θ ≈ 74°

About This Question

This is Neco 2025 Mathematics Question 9. It is one of the objective questions from the 2025 Neco Mathematics examination.

Difficulty level: Hard .

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