Neco Model Questions Vol1 2021 Mathematics Question 38

Practice objective / multiple choice question 38 from the 2021 Neco Model Questions Vol1 Mathematics examination.

Neco Model Questions Vol1 2021 Mathematics Objective / Multiple Choice Hard Difficulty
Question 38 NECO_MODEL_QUESTIONS_VOL1 • 2021 • MATHEMATICS • objective

Vectors \(\mathbf{a}= (1,2,-1)\), \(\mathbf{b}= (k,1,3)\) and \(\mathbf{c}= (2,k,4)\) are in three‑dimensional space.\n\n(a) Determine the real value(s) of \(k\) for which the three vectors are coplanar.\n\n(b) For the smallest positive value of \(k\) obtained in part (a), compute the magnitude of the vector \(\mathbf{v}= \mathbf{a}+2\mathbf{b}-\mathbf{c}\).

Answer Options

A. sqrt{(953+67*sqrt{193})\/2}
B. sqrt{(953-67*sqrt{193})\/2}+1
C. sqrt{(953-67*sqrt{193})\/3}
Correct Answer D. sqrt{(953-67*sqrt{193})/2}
Correct Answer
D
Correct Option:
sqrt{(953-67*sqrt{193})/2}

About This Question

This is Neco Model Questions Vol1 2021 Mathematics Question 38. It is one of the objective questions from the 2021 Neco Model Questions Vol1 Mathematics examination.

Difficulty level: Hard .

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