Gce Model Questions Vol1 2019 Mathematics Question 33
Practice objective / multiple choice question 33 from the 2019 Gce Model Questions Vol1 Mathematics examination.
In three‑dimensional space let vectors \(\mathbf{u}\) and \(\mathbf{v}\) satisfy \(|\mathbf{u}|=5,\;|\mathbf{v}|=4\) and \(\mathbf{u}\cdot\mathbf{v}=6\). Define \(\mathbf{w}=2\mathbf{v}-k\mathbf{u}\). Find the value of the real number \(k\) for which \(\mathbf{w}\) is perpendicular to \(\mathbf{u}\), and then compute \(|\mathbf{w}|\) for that \(k\) (give the magnitude to two decimal places).
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This is Gce Model Questions Vol1 2019 Mathematics Question 33. It is one of the objective questions from the 2019 Gce Model Questions Vol1 Mathematics examination.
Difficulty level: Hard .
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