Neco 2019 Further Mathematics Question 17

Practice objective / multiple choice question 17 from the 2019 Neco Further Mathematics examination.

Neco 2019 Further Mathematics Objective / Multiple Choice Hard Difficulty
Question 17 NECO • 2019 • FURTHER_MATHEMATICS • objective

A vector \(\mathbf{a}\) has magnitude 5, a vector \(\mathbf{b}\) has magnitude 7, and the angle between them is \(60^{\circ}\). A third vector \(\mathbf{c}\) is perpendicular to both \(\mathbf{a}\) and \(\mathbf{b}\) and its magnitude equals the area of the parallelogram formed by \(\mathbf{a}\) and \(\mathbf{b}\). Find the magnitude of \(\mathbf{S}= \mathbf{a}+ \mathbf{b}+ \mathbf{c}\).

Answer Options

A. \\frac{\\sqrt{4100}}{2}
Correct Answer B. \\frac{\\sqrt{4111}}{2}
C. \\frac{\\sqrt{4000}}{2}
D. \\frac{\\sqrt{4112}}{2}
Correct Answer
B
Correct Option:
\\frac{\\sqrt{4111}}{2}

About This Question

This is Neco 2019 Further Mathematics Question 17. It is one of the objective questions from the 2019 Neco Further Mathematics examination.

Difficulty level: Hard .

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