Neco Model Questions Vol1 2025 Mathematics Question 17
Practice objective / multiple choice question 17 from the 2025 Neco Model Questions Vol1 Mathematics examination.
In the plane, vectors \(\mathbf{a}\) and \(\mathbf{b}\) satisfy \(|\mathbf{a}| = 5\), \(|\mathbf{b}| = 8\) and the angle between them is \(60^{\circ}\). A third vector \(\mathbf{c}\) is defined by \(\mathbf{c}=\mathbf{a}+k\mathbf{b}\) for some real number \(k\). If the magnitude of \(\mathbf{c}\) equals the area of the parallelogram formed by \(\mathbf{a}\) and \(\mathbf{b}\), find the possible value(s) of \(k\).
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This is Neco Model Questions Vol1 2025 Mathematics Question 17. It is one of the objective questions from the 2025 Neco Model Questions Vol1 Mathematics examination.
Difficulty level: Hard .
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