Gce Model Questions Vol1 2020 Further Mathematics Question 40
Practice objective / multiple choice question 40 from the 2020 Gce Model Questions Vol1 Further Mathematics examination.
In three‑dimensional space vectors \(\mathbf{a}\) and \(\mathbf{b}\) satisfy \(|\mathbf{a}|=3\), \(|\mathbf{b}|=4\) and \(\mathbf{a}\cdot\mathbf{b}=6\). Let \(\mathbf{c}= \mathbf{a}+ \lambda\mathbf{b}\) where \(\lambda\) is chosen so that \(\mathbf{c}\) is perpendicular to \(\mathbf{a}\). Find the value of \(\lambda\) and then compute \(|\mathbf{c}|\).
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About This Question
This is Gce Model Questions Vol1 2020 Further Mathematics Question 40. It is one of the objective questions from the 2020 Gce Model Questions Vol1 Further Mathematics examination.
Difficulty level: Medium .
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