Igcse Model Questions Vol1 2017 Mathematics Question 21

Practice objective / multiple choice question 21 from the 2017 Igcse Model Questions Vol1 Mathematics examination.

Igcse Model Questions Vol1 2017 Mathematics Objective / Multiple Choice Hard Difficulty
Question 21 IGCSE_MODEL_QUESTIONS_VOL1 • 2017 • MATHEMATICS • objective

Two vectors \(\mathbf{a}\) and \(\mathbf{b}\) lie in the same plane. Their magnitudes are \(|\mathbf{a}| = 5\) and \(|\mathbf{b}| = 8\). It is known that the vector \(\mathbf{a} + 2\mathbf{b}\) is perpendicular to the vector \(3\mathbf{a} - \mathbf{b}\). Find the angle between \(\mathbf{a}\) and \(\mathbf{b}\) in degrees, correct to one decimal place.

Answer Options

A. 90.0
B. 120.5
Correct Answer C. 74.6
D. 45.0
Correct Answer
C
Correct Option:
74.6

About This Question

This is Igcse Model Questions Vol1 2017 Mathematics Question 21. It is one of the objective questions from the 2017 Igcse Model Questions Vol1 Mathematics examination.

Difficulty level: Hard .

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