Neco 2018 Further Mathematics Question 21

Practice objective / multiple choice question 21 from the 2018 Neco Further Mathematics examination.

Neco 2018 Further Mathematics Objective / Multiple Choice Medium Difficulty
Question 21 NECO • 2018 • FURTHER_MATHEMATICS • objective

Given vectors \(\mathbf{a}=2\mathbf{i}-\mathbf{j}+\mathbf{k}\) and \(\mathbf{b}=\mathbf{i}+3\mathbf{j}-2\mathbf{k}\), the vector \(\mathbf{c}=p\mathbf{a}+q\mathbf{b}\) is perpendicular to \(\mathbf{a}\) and has magnitude \(5\). If \(p>0\), find \(p+q\).

Answer Options

A. \frac{3\sqrt{3}}{2}
B. \frac{3\sqrt{2}}{4}
C. \frac{5\sqrt{2}}{2}
Correct Answer D. \frac{3\sqrt{2}}{2}
Correct Answer
D
Correct Option:
\frac{3\sqrt{2}}{2}

About This Question

This is Neco 2018 Further Mathematics Question 21. It is one of the objective questions from the 2018 Neco Further Mathematics examination.

Difficulty level: Medium .

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