Gce Model Questions Vol1 2021 Mathematics Question 42

Practice objective / multiple choice question 42 from the 2021 Gce Model Questions Vol1 Mathematics examination.

Gce Model Questions Vol1 2021 Mathematics Objective / Multiple Choice Hard Difficulty
Question 42 GCE_MODEL_QUESTIONS_VOL1 • 2021 • MATHEMATICS • objective

Two vectors \(\mathbf{a}\) and \(\mathbf{b}\) lie in a plane with magnitudes \(|\mathbf{a}| = 5\) and \(|\mathbf{b}| = 7\). The vector \(\mathbf{c}=2\mathbf{a}-\mathbf{b}\) is perpendicular to the vector \(\mathbf{d}=\mathbf{a}+3\mathbf{b}\). Find \(\cos\theta\), where \(\theta\) is the angle between \(\mathbf{a}\) and \(\mathbf{b}\).

Answer Options

A. \frac{99}{175}
B. \frac{87}{175}
C. \frac{97}{165}
Correct Answer D. \frac{97}{175}
Correct Answer
D
Correct Option:
\frac{97}{175}

About This Question

This is Gce Model Questions Vol1 2021 Mathematics Question 42. It is one of the objective questions from the 2021 Gce Model Questions Vol1 Mathematics examination.

Difficulty level: Hard .

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