Gce Model Questions Vol1 2023 Further Mathematics Question 24

Practice objective / multiple choice question 24 from the 2023 Gce Model Questions Vol1 Further Mathematics examination.

Gce Model Questions Vol1 2023 Further Mathematics Objective / Multiple Choice Hard Difficulty
Question 24 GCE_MODEL_QUESTIONS_VOL1 • 2023 • FURTHER_MATHEMATICS • objective

In a plane, vectors \(\mathbf{a}\) and \(\mathbf{b}\) satisfy \(|\mathbf{a}|=3\), \(|\mathbf{b}|=4\) and the angle between them is \(60^{\circ}\). Define \(\mathbf{c}=2\mathbf{a}-\mathbf{b}\) and \(\mathbf{d}=\mathbf{a}\times\mathbf{b}\) (a vector perpendicular to the plane). Find the volume of the parallelepiped formed by the three vectors \(\mathbf{c},\ \mathbf{a}+2\mathbf{b},\ \mathbf{d}\).

Answer Options

Correct Answer A. 540
B. 600
C. 480
D. 720
Correct Answer
A
Correct Option:
540

About This Question

This is Gce Model Questions Vol1 2023 Further Mathematics Question 24. It is one of the objective questions from the 2023 Gce Model Questions Vol1 Further Mathematics examination.

Difficulty level: Hard .

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