Neco Model Questions Vol1 2022 Mathematics Question 10

Practice objective / multiple choice question 10 from the 2022 Neco Model Questions Vol1 Mathematics examination.

Neco Model Questions Vol1 2022 Mathematics Objective / Multiple Choice Hard Difficulty
Question 10 NECO_MODEL_QUESTIONS_VOL1 • 2022 • MATHEMATICS • objective

In the plane, let \(\mathbf{u} = (3,\,k)\) and \(\mathbf{v} = (m,\,5)\). It is known that \(\mathbf{u} + \mathbf{v}\) is parallel to the vector \((1,2)\) and that the magnitude of \(\mathbf{u} - \mathbf{v}\) is 5. Find the ordered pair \((k,\,m)\) and then compute the area of the parallelogram formed by \(\mathbf{u}\) and \(\mathbf{v}\).

Answer Options

A. (k, m) = (2, -1); area = 12
B. (k, m) = (0, 1); area = 10
C. (k, m) = (-1, 2); area = 18
Correct Answer D. (k, m) = (1, 0); area = 15
Correct Answer
D
Correct Option:
(k, m) = (1, 0); area = 15

About This Question

This is Neco Model Questions Vol1 2022 Mathematics Question 10. It is one of the objective questions from the 2022 Neco Model Questions Vol1 Mathematics examination.

Difficulty level: Hard .

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