Igcse Model Questions Vol1 2024 Mathematics Question 36
Practice objective / multiple choice question 36 from the 2024 Igcse Model Questions Vol1 Mathematics examination.
In a plane, vectors \(\mathbf{u}\) and \(\mathbf{v}\) satisfy \(|\mathbf{u}| = 5\) cm, \(|\mathbf{v}| = k\) cm and the angle between them is \(\theta\). The vector \(\mathbf{w} = 2\mathbf{u} - \mathbf{v}\) has magnitude 7 cm and is perpendicular to \(\mathbf{u} + \mathbf{v}\). Find the value of \(k\) (to two decimal places) and the angle \(\theta\) in degrees (nearest whole number).
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This is Igcse Model Questions Vol1 2024 Mathematics Question 36. It is one of the objective questions from the 2024 Igcse Model Questions Vol1 Mathematics examination.
Difficulty level: Hard .
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