Gce Model Questions Vol1 2025 Further Mathematics Question 42

Practice objective / multiple choice question 42 from the 2025 Gce Model Questions Vol1 Further Mathematics examination.

Gce Model Questions Vol1 2025 Further Mathematics Objective / Multiple Choice Medium Difficulty
Question 42 GCE_MODEL_QUESTIONS_VOL1 • 2025 • FURTHER_MATHEMATICS • objective

Given vectors \(\mathbf{A}=(2,-1,3)\) and \(\mathbf{B}=(k,4,-2)\) are perpendicular, find the value of \(k\). Then determine a vector \(\mathbf{C}\) that is perpendicular to both \(\mathbf{A}\) and \(\mathbf{B}\) and has magnitude \(6\).

Answer Options

A. k = 4; \(\mathbf{C}= (\sqrt{6},\,-2\sqrt{6},\,\sqrt{6})\)
Correct Answer B. k = -4; \(\mathbf{C}= (\sqrt{6},\,-2\sqrt{6},\,\sqrt{6})\)
C. k = -4; \(\mathbf{C}= (\sqrt{6},\,2\sqrt{6},\,-\sqrt{6})\)
D. k = -4; \(\mathbf{C}= (2\sqrt{6},\,-\sqrt{6},\,\sqrt{6})\)
Correct Answer
B
Correct Option:
k = -4; \(\mathbf{C}= (\sqrt{6},\,-2\sqrt{6},\,\sqrt{6})\)

About This Question

This is Gce Model Questions Vol1 2025 Further Mathematics Question 42. It is one of the objective questions from the 2025 Gce Model Questions Vol1 Further Mathematics examination.

Difficulty level: Medium .

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