Gce Model Questions Vol1 2022 Further Mathematics Question 13

Practice objective / multiple choice question 13 from the 2022 Gce Model Questions Vol1 Further Mathematics examination.

Gce Model Questions Vol1 2022 Further Mathematics Objective / Multiple Choice Medium Difficulty
Question 13 GCE_MODEL_QUESTIONS_VOL1 • 2022 • FURTHER_MATHEMATICS • objective

In three‑dimensional space let \(\mathbf{a} = (2,-1,3)\) and \(\mathbf{b} = (1,4,-2)\). Let \(\mathbf{c} = (5,0,1)\). A unit vector \(\mathbf{u}\) is orthogonal to both \(\mathbf{a}\) and \(\mathbf{b}\). Compute the absolute value of the dot product \(|\mathbf{u}\cdot\mathbf{c}|\).

Answer Options

A. 41/\sqrt{231}
B. 41/\sqrt{115}
C. \sqrt{230}/41
Correct Answer D. 41/\sqrt{230}
Correct Answer
D
Correct Option:
41/\sqrt{230}

About This Question

This is Gce Model Questions Vol1 2022 Further Mathematics Question 13. It is one of the objective questions from the 2022 Gce Model Questions Vol1 Further Mathematics examination.

Difficulty level: Medium .

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