Neco Model Questions Vol1 2021 Mathematics Question 9
Practice objective / multiple choice question 9 from the 2021 Neco Model Questions Vol1 Mathematics examination.
Let vectors \(\mathbf{p}\) and \(\mathbf{q}\) lie in a plane. It is given that \(|\mathbf{p}| = 7\), \(|\mathbf{p} + \mathbf{q}| = 10\) and the vectors \(\mathbf{p} - 2\mathbf{q}\) and \(\mathbf{p} + \mathbf{q}\) are perpendicular.\n\n(a) Find the magnitude \(|\mathbf{q}|\).\n\n(b) Determine the angle \(\theta\) between \(\mathbf{p}\) and \(\mathbf{q}\) (give the nearest whole degree).
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This is Neco Model Questions Vol1 2021 Mathematics Question 9. It is one of the objective questions from the 2021 Neco Model Questions Vol1 Mathematics examination.
Difficulty level: Hard .
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