Neco 2024 Mathematics Question 50
Practice objective / multiple choice question 50 from the 2024 Neco Mathematics examination.
In a plane, vectors \mathbf{a} and \mathbf{b} satisfy \(|\mathbf{a}| = 5\), \(|\mathbf{b}| = 7\) and the area of the triangle formed by \mathbf{a} and \mathbf{b} is \(\frac{35\sqrt{3}}{4}\) square units. A vector \mathbf{c} is defined by \mathbf{c} = \mathbf{a} + k\mathbf{b}. It is known that \(|\mathbf{c}| = |\mathbf{a} - \mathbf{b}|\). Find the positive value of the scalar \(k\).
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About This Question
This is Neco 2024 Mathematics Question 50. It is one of the objective questions from the 2024 Neco Mathematics examination.
Difficulty level: Hard .
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