Gce Model Questions Vol1 2022 Further Mathematics Question 16

Practice objective / multiple choice question 16 from the 2022 Gce Model Questions Vol1 Further Mathematics examination.

Gce Model Questions Vol1 2022 Further Mathematics Objective / Multiple Choice Hard Difficulty
Question 16 GCE_MODEL_QUESTIONS_VOL1 • 2022 • FURTHER_MATHEMATICS • objective

In three dimensions, vectors \(\mathbf{a}\) and \(\mathbf{b}\) satisfy \(|\mathbf{a}| = 5\), \(|\mathbf{b}| = 7\) and the projection of \(\mathbf{a}\) onto \(\mathbf{b}\) is \(3\). Find the magnitude of \((\mathbf{a}\times\mathbf{b})\times(\mathbf{a}+\mathbf{b})\).

Answer Options

Correct Answer A. 112\sqrt{2}
B. 112\sqrt{5}
C. 112\sqrt{3}
D. 64\sqrt{2}
Correct Answer
A
Correct Option:
112\sqrt{2}

About This Question

This is Gce Model Questions Vol1 2022 Further Mathematics Question 16. It is one of the objective questions from the 2022 Gce Model Questions Vol1 Further Mathematics examination.

Difficulty level: Hard .

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