Gce Model Questions Vol1 2017 Mathematics Question 31
Practice objective / multiple choice question 31 from the 2017 Gce Model Questions Vol1 Mathematics examination.
Two vectors \(\mathbf{a}\) and \(\mathbf{b}\) lie in the same plane. The magnitude of \(\mathbf{a}\) is \(5\) units. It is known that \(\mathbf{a}+2\mathbf{b}\) is perpendicular to \(\mathbf{a}-\mathbf{b}\) and that the magnitude of \(\mathbf{a}+\mathbf{b}\) is \(7\) units. Determine the magnitude of \(\mathbf{b}\) (to two decimal places) and the angle between \(\mathbf{a}\) and \(\mathbf{b}\) (to one decimal place).
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About This Question
This is Gce Model Questions Vol1 2017 Mathematics Question 31. It is one of the objective questions from the 2017 Gce Model Questions Vol1 Mathematics examination.
Difficulty level: Hard .
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