Gce Model Questions Vol1 2020 Mathematics Question 15
Practice objective / multiple choice question 15 from the 2020 Gce Model Questions Vol1 Mathematics examination.
Vectors \(\mathbf{a}\) and \(\mathbf{b}\) lie in a plane with magnitudes \(|\mathbf{a}| = 5\) and \(|\mathbf{b}| = 8\). It is given that the vector \(\mathbf{a} + 2\mathbf{b}\) is perpendicular to the vector \(3\mathbf{a} - \mathbf{b}\). Find the angle \(\theta\) between \(\mathbf{a}\) and \(\mathbf{b}\) (where \(0^{\circ} < \theta < 180^{\circ}\)). Give your answer in degrees correct to one decimal place.
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About This Question
This is Gce Model Questions Vol1 2020 Mathematics Question 15. It is one of the objective questions from the 2020 Gce Model Questions Vol1 Mathematics examination.
Difficulty level: Hard .
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