Gce Model Questions Vol1 2018 Further Mathematics Question 24

Practice objective / multiple choice question 24 from the 2018 Gce Model Questions Vol1 Further Mathematics examination.

Gce Model Questions Vol1 2018 Further Mathematics Objective / Multiple Choice Medium Difficulty
Question 24 GCE_MODEL_QUESTIONS_VOL1 • 2018 • FURTHER_MATHEMATICS • objective

Vectors \(\mathbf{a}= (2,\,-1,\,k)\) and \(\mathbf{b}= (1,\,4,\,-2)\) are perpendicular. Determine the value of \(k\). Then give a unit vector that is perpendicular to both \(\mathbf{a}\) and \(\mathbf{b}\).

Answer Options

Correct Answer A. k = -1; unit vector = (2/√14, 1/√14, 3/√14)
B. k = 0; unit vector = (2\/√5, -1\/√5, 0\/√5)
C. k = 2; unit vector = (1\/√6, -2\/√6, 1\/√6)
D. k = -1; unit vector = (1\/√3, 1\/√3, -1\/√3)
Correct Answer
A
Correct Option:
k = -1; unit vector = (2/√14, 1/√14, 3/√14)

About This Question

This is Gce Model Questions Vol1 2018 Further Mathematics Question 24. It is one of the objective questions from the 2018 Gce Model Questions Vol1 Further Mathematics examination.

Difficulty level: Medium .

View More Gce Model Questions Vol1 2018 Further Mathematics Questions More Gce Model Questions Vol1 Practice Questions Back to Questions

Master the Exam!

You've seen a preview, but there are thousands more questions plus AI tutor to break down complex solutions.

Unlock Full Access Available for Android & Windows
Chat with Support