Igcse Model Questions Vol1 2025 Mathematics Question 19

Practice objective / multiple choice question 19 from the 2025 Igcse Model Questions Vol1 Mathematics examination.

Igcse Model Questions Vol1 2025 Mathematics Objective / Multiple Choice Hard Difficulty
Question 19 IGCSE_MODEL_QUESTIONS_VOL1 • 2025 • MATHEMATICS • objective

Vectors \(\mathbf{a}\) and \(\mathbf{b}\) have magnitudes \(|\mathbf{a}| = 5\) cm and \(|\mathbf{b}| = 7\) cm. The magnitude of their sum \(\mathbf{a}+\mathbf{b}\) is \(9\) cm. (i) Find the angle between \(\mathbf{a}\) and \(\mathbf{b}\) to the nearest degree. (ii) Find the magnitude of the vector \(2\mathbf{a}-\mathbf{b}\) (to one decimal place).

Answer Options

Correct Answer A. 84°, 11.6
B. 84°, 13.5
C. 78°, 12.3
D. 90°, 10.2
Correct Answer
A
Correct Option:
84°, 11.6

About This Question

This is Igcse Model Questions Vol1 2025 Mathematics Question 19. It is one of the objective questions from the 2025 Igcse Model Questions Vol1 Mathematics examination.

Difficulty level: Hard .

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