Neco 2017 Further Mathematics Question 46

Practice objective / multiple choice question 46 from the 2017 Neco Further Mathematics examination.

Neco 2017 Further Mathematics Objective / Multiple Choice Hard Difficulty
Question 46 NECO • 2017 • FURTHER_MATHEMATICS • objective

If \( \mathbf{a}=2\mathbf{i}-\mathbf{j}+\mathbf{k} \) and \( \mathbf{b}=\mathbf{i}+2\mathbf{j}-2\mathbf{k} \), find a vector \( \mathbf{c} \) that is perpendicular to both \( \mathbf{a} \) and \( \mathbf{b} \) and has magnitude 5. Then compute the value of \( (\mathbf{c}\times\mathbf{a})\cdot\mathbf{b} \).

Answer Options

Correct Answer A. 25\sqrt{2}
B. 10\sqrt{12}
C. 5\sqrt{125}
D. 25\sqrt{3}
Correct Answer
A
Correct Option:
25\sqrt{2}

About This Question

This is Neco 2017 Further Mathematics Question 46. It is one of the objective questions from the 2017 Neco Further Mathematics examination.

Difficulty level: Hard .

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