Neco Model Questions Vol1 2017 Mathematics Question 9

Practice objective / multiple choice question 9 from the 2017 Neco Model Questions Vol1 Mathematics examination.

Neco Model Questions Vol1 2017 Mathematics Objective / Multiple Choice Hard Difficulty
Question 9 NECO_MODEL_QUESTIONS_VOL1 • 2017 • MATHEMATICS • objective

Two vectors \(\mathbf{a}\) and \(\mathbf{b}\) lie in the same plane. Their magnitudes are \(|\mathbf{a}| = 5\) and \(|\mathbf{b}| = 8\). The magnitude of the vector \(\mathbf{a} + 2\mathbf{b}\) is 13. (i) Find the angle \(\theta\) between \(\mathbf{a}\) and \(\mathbf{b}\) in degrees, correct to the nearest whole number. (ii) Determine the magnitude of the projection of \(\mathbf{a}\) onto \(\mathbf{b}\).

Answer Options

A. 100°, 5.0
Correct Answer B. 134°, 3.5
C. 150°, 2.5
D. 120°, 4.0
Correct Answer
B
Correct Option:
134°, 3.5

About This Question

This is Neco Model Questions Vol1 2017 Mathematics Question 9. It is one of the objective questions from the 2017 Neco Model Questions Vol1 Mathematics examination.

Difficulty level: Hard .

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