Neco Model Questions Vol1 2020 Mathematics Question 43

Practice objective / multiple choice question 43 from the 2020 Neco Model Questions Vol1 Mathematics examination.

Neco Model Questions Vol1 2020 Mathematics Objective / Multiple Choice Hard Difficulty
Question 43 NECO_MODEL_QUESTIONS_VOL1 • 2020 • MATHEMATICS • objective

In the plane, vectors \(\mathbf{u} = (2,\,-1)\) and \(\mathbf{v} = (k,\,5)\) satisfy that the magnitudes of \(\mathbf{u}+\mathbf{v}\) and \(\mathbf{u}-\mathbf{v}\) are equal. (i) Determine the value of \(k\). (ii) Find the angle between \(\mathbf{u}\) and \(\mathbf{v}\) in degrees. (iii) Find the magnitude of the resultant vector \(\mathbf{u}+\mathbf{v}\) (give your answer to two decimal places).

Answer Options

Correct Answer A. k = 2.5; angle = 90°; |u+v| \approx 6.02
B. k = 2.5; angle = 90°; |u+v| ≈ 5.00
C. k = 2.5; angle = 60°; |u+v| ≈ 6.02
D. k = -2.5; angle = 90°; |u+v| ≈ 6.02
Correct Answer
A
Correct Option:
k = 2.5; angle = 90°; |u+v| \approx 6.02

About This Question

This is Neco Model Questions Vol1 2020 Mathematics Question 43. It is one of the objective questions from the 2020 Neco Model Questions Vol1 Mathematics examination.

Difficulty level: Hard .

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