Neco 2023 Further Mathematics Question 35

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

Neco 2023 Further Mathematics Objective / Multiple Choice Medium Difficulty
Question 35 NECO • 2023 • FURTHER_MATHEMATICS • objective

Vectors \(\mathbf{a}\) and \(\mathbf{b}\) in three‑dimensional space satisfy \(|\mathbf{a}|=5\), \(|\mathbf{b}|=7\) and \(\mathbf{a}\cdot\mathbf{b}=14\). Let \(\mathbf{c}=2\mathbf{a}-3\mathbf{b}\). (a) Find \(|\mathbf{c}|\). (b) Find the angle between \(\mathbf{a}\) and \(\mathbf{c}\) (to one decimal place).

Answer Options

A. (a) \sqrt{400}; (b) 90.0^{\circ}
B. (a) \sqrt{361}; (b) 75.0^{\circ}
C. (a) \sqrt{345}; (b) 80.0^{\circ}
Correct Answer D. (a) \sqrt{373}; (b) 85.2^{\circ}
Correct Answer
D
Correct Option:
(a) \sqrt{373}; (b) 85.2^{\circ}

About This Question

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

Difficulty level: Medium .

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