Neco 2021 Mathematics Question 1
Practice objective / multiple choice question 1 from the 2021 Neco Mathematics examination.
In a plane, vectors \(\mathbf{u}\) and \(\mathbf{v}\) satisfy \(|\mathbf{u}| = 5\), \(|\mathbf{v}| = 7\) and the vector \(\mathbf{w}=2\mathbf{u}-\mathbf{v}\) is perpendicular to \(\mathbf{u}+\mathbf{v}\). Find (i) the angle between \(\mathbf{u}\) and \(\mathbf{v}\) correct to one decimal place, and (ii) the exact value of \(|\mathbf{u}+\mathbf{v}|\).
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About This Question
This is Neco 2021 Mathematics Question 1. It is one of the objective questions from the 2021 Neco Mathematics examination.
Difficulty level: Hard .
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