Gce Model Questions Vol1 2021 Mathematics Question 10
Practice objective / multiple choice question 10 from the 2021 Gce Model Questions Vol1 Mathematics examination.
In three‑dimensional space, vectors \(\mathbf{a}\) and \(\mathbf{b}\) satisfy \(|\mathbf{a}| = 5\), \(|\mathbf{b}| = 7\) and the angle between them is \(60^{\circ}\). Let \(\mathbf{c} = \mathbf{a} + \lambda\mathbf{b}\) be perpendicular to \(\mathbf{a} - 2\mathbf{b}\). Find the value of \(\lambda\) and the magnitude \(|\mathbf{c}|\) (give \(|\mathbf{c}|\) correct to two decimal places).
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This is Gce Model Questions Vol1 2021 Mathematics Question 10. It is one of the objective questions from the 2021 Gce Model Questions Vol1 Mathematics examination.
Difficulty level: Hard .
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