Neco 2022 Further Mathematics Question 41
Practice objective / multiple choice question 41 from the 2022 Neco Further Mathematics examination.
In three‑dimensional space, vectors \(\mathbf{a}\) and \(\mathbf{b}\) satisfy \(|\mathbf{a}|=5\), \(|\mathbf{b}|=\sqrt{13}\) and \(\mathbf{a}\cdot\mathbf{b}=7\). Let \(\mathbf{c}=2\mathbf{a}-3\mathbf{b}\). Find (i) the magnitude \(|\mathbf{c}|\) and (ii) the angle between \(\mathbf{c}\) and \(\mathbf{a}\) (give the answer to one decimal place in degrees).
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About This Question
This is Neco 2022 Further Mathematics Question 41. It is one of the objective questions from the 2022 Neco Further Mathematics examination.
Difficulty level: Hard .
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