Neco Model Questions Vol1 2019 Mathematics Question 7
Practice objective / multiple choice question 7 from the 2019 Neco Model Questions Vol1 Mathematics examination.
Vector \(\mathbf{a}=2\mathbf{i}-\mathbf{j}\). Vector \(\mathbf{b}=p\mathbf{i}+q\mathbf{j}\) where \(p\) and \(q\) are positive integers not exceeding 10. It is known that \(\mathbf{a}+\mathbf{b}\) is parallel to \(\mathbf{c}=3\mathbf{i}+4\mathbf{j}\) and that \(|\mathbf{a}+\mathbf{b}|=10\). Determine the ordered pair \((p,q)\) and then give the magnitude of \(\mathbf{b}\) in simplest radical form.
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This is Neco Model Questions Vol1 2019 Mathematics Question 7. It is one of the objective questions from the 2019 Neco Model Questions Vol1 Mathematics examination.
Difficulty level: Hard .
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