Igcse Model Questions Vol1 2020 Mathematics Question 5

Practice objective / multiple choice question 5 from the 2020 Igcse Model Questions Vol1 Mathematics examination.

Igcse Model Questions Vol1 2020 Mathematics Objective / Multiple Choice Hard Difficulty
Question 5 IGCSE_MODEL_QUESTIONS_VOL1 • 2020 • MATHEMATICS • objective

In a plane, vectors \(\mathbf{a}\) and \(\mathbf{b}\) satisfy \(|\mathbf{a}| = 5\), \(|\mathbf{b}| = 7\) and \(\mathbf{a}\cdot\mathbf{b} = 20\). Let \(\mathbf{c} = 2\mathbf{a} - 3\mathbf{b}\). Find (a) the magnitude of \(\mathbf{c}\) and (b) the angle between \(\mathbf{a}\) and \(\mathbf{c}\) (to one decimal place).

Answer Options

Correct Answer A. a) \(\sqrt{301}\) \(\approx 17.35\); b) \(96.6^{\circ}\)
B. a) \(\sqrt{301}\) \(\approx 17.35\); b) \(70.5^{\circ}\)
C. a) \(\sqrt{421}\) \(\approx 20.5\); b) \(84.3^{\circ}\)
D. a) \(\sqrt{781}\) \(\approx 27.9\); b) \(110.2^{\circ}\)
Correct Answer
A
Correct Option:
a) \(\sqrt{301}\) \(\approx 17.35\); b) \(96.6^{\circ}\)

About This Question

This is Igcse Model Questions Vol1 2020 Mathematics Question 5. It is one of the objective questions from the 2020 Igcse Model Questions Vol1 Mathematics examination.

Difficulty level: Hard .

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