Gce Model Questions Vol1 2024 Further Mathematics Question 44

Practice objective / multiple choice question 44 from the 2024 Gce Model Questions Vol1 Further Mathematics examination.

Gce Model Questions Vol1 2024 Further Mathematics Objective / Multiple Choice Medium Difficulty
Question 44 GCE_MODEL_QUESTIONS_VOL1 • 2024 • FURTHER_MATHEMATICS • objective

Let \(\mathbf{u}=(1,2,2)\) and \(\mathbf{v}=(2,-1,1)\). Find a unit vector \(\mathbf{w}\) that is perpendicular to both \(\mathbf{u}\) and \(\mathbf{v}\) and makes an acute angle with the vector \(\mathbf{c}=(1,0,1)\). Give \(\mathbf{w}\) in component form.

Answer Options

A. \(\displaystyle \mathbf{w}=\frac{-4\mathbf{i}-3\mathbf{j}+5\mathbf{k}}{10\sqrt{2}}\)
B. \(\displaystyle \mathbf{w}=\frac{-4\mathbf{i}+3\mathbf{j}+5\mathbf{k}}{5\sqrt{2}}\)
C. \(\displaystyle \mathbf{w}=\frac{4\mathbf{i}+3\mathbf{j}+5\mathbf{k}}{5\sqrt{2}}\)
Correct Answer D. \(\displaystyle \mathbf{w}=\frac{-4\mathbf{i}-3\mathbf{j}+5\mathbf{k}}{5\sqrt{2}}\)
Correct Answer
D
Correct Option:
\(\displaystyle \mathbf{w}=\frac{-4\mathbf{i}-3\mathbf{j}+5\mathbf{k}}{5\sqrt{2}}\)

About This Question

This is Gce Model Questions Vol1 2024 Further Mathematics Question 44. It is one of the objective questions from the 2024 Gce Model Questions Vol1 Further Mathematics examination.

Difficulty level: Medium .

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