Gce Model Questions Vol1 2021 Further Mathematics Question 43
Practice objective / multiple choice question 43 from the 2021 Gce Model Questions Vol1 Further Mathematics examination.
In a plane, vectors \(\mathbf{u}\) and \(\mathbf{v}\) have magnitudes \(|\mathbf{u}|=5\) and \(|\mathbf{v}|=7\). Their sum \(\mathbf{w}=\mathbf{u}+\mathbf{v}\) has magnitude \(|\mathbf{w}|=8\). (a) Determine the exact value of the dot product \(\mathbf{u}\cdot\mathbf{v}\). (b) Find the magnitude of \(\mathbf{u}\times\mathbf{v}\) (interpreting the vectors as lying in \(\mathbb{R}^{3}\) with zero \(z\)-components).
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About This Question
This is Gce Model Questions Vol1 2021 Further Mathematics Question 43. It is one of the objective questions from the 2021 Gce Model Questions Vol1 Further Mathematics examination.
Difficulty level: Hard .
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