Waec Model Questions Vol6 2024 Mathematics Question 19
Practice objective / multiple choice question 19 from the 2024 Waec Model Questions Vol6 Mathematics examination.
In three‑dimensional space, vectors \(\mathbf{a}\) and \(\mathbf{b}\) have magnitudes |\(\mathbf{a}\)| = 3 cm and |\(\mathbf{b}\)| = 4 cm, and the angle between them is 60°. Define \(\mathbf{d} = \mathbf{a} + k\mathbf{b}\) where the scalar k is chosen so that \(\mathbf{d}\) is perpendicular to \(\mathbf{a} - 2\mathbf{b}\). Determine the value of k and then give the magnitude of \(\mathbf{d}\) in simplest radical form.
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This is Waec Model Questions Vol6 2024 Mathematics Question 19. It is one of the objective questions from the 2024 Waec Model Questions Vol6 Mathematics examination.
Difficulty level: Hard .
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