Neco 2023 Mathematics Question 35

Practice objective / multiple choice question 35 from the 2023 Neco Mathematics examination.

Neco 2023 Mathematics Objective / Multiple Choice Hard Difficulty
Question 35 NECO • 2023 • MATHEMATICS • objective

Vectors \(\mathbf{a}\) and \(\mathbf{b}\) in a plane satisfy \(|\mathbf{a}| = 8\), \(|\mathbf{b}| = 6\), and the vector \(2\mathbf{a} - 3\mathbf{b}\) is perpendicular to \(\mathbf{a} + \mathbf{b}\). Find the angle \(\theta\) between \(\mathbf{a}\) and \(\mathbf{b}\) (in degrees, to one decimal place) and the magnitude of \(\mathbf{a} - \mathbf{b}\) (to two decimal places).

Answer Options

A. θ ≈ 60.0°, |a - b| = 2√14 ≈ 7.48
Correct Answer B. θ ≈ 65.4°, |a - b| = 2√15 ≈ 7.75
C. θ ≈ 70.2°, |a - b| = 2√17 ≈ 8.25
D. θ ≈ 55.0°, |a - b| = 2√13 ≈ 7.21
Correct Answer
B
Correct Option:
θ ≈ 65.4°, |a - b| = 2√15 ≈ 7.75

About This Question

This is Neco 2023 Mathematics Question 35. It is one of the objective questions from the 2023 Neco Mathematics examination.

Difficulty level: Hard .

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