Gce Model Questions Vol1 2024 Further Mathematics Question 22
Practice objective / multiple choice question 22 from the 2024 Gce Model Questions Vol1 Further Mathematics examination.
Vectors \(\mathbf{u}\) and \(\mathbf{v}\) in \(\mathbb{R}^3\) satisfy \(|\mathbf{u}| = 5\), \(\mathbf{u}\cdot\mathbf{v}=8\) and \(|\mathbf{u}+\mathbf{v}| = \sqrt{61}\). (i) Find \(|\mathbf{v}|\). (ii) Determine the angle between \(\mathbf{u}\) and \(\mathbf{v}\) (to the nearest degree). (iii) Find the magnitude of the cross‑product \(|\mathbf{u}\times\mathbf{v}|\).
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About This Question
This is Gce Model Questions Vol1 2024 Further Mathematics Question 22. It is one of the objective questions from the 2024 Gce Model Questions Vol1 Further Mathematics examination.
Difficulty level: Hard .
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