Neco 2022 Further Mathematics Question 30

Practice objective / multiple choice question 30 from the 2022 Neco Further Mathematics examination.

Neco 2022 Further Mathematics Objective / Multiple Choice Medium Difficulty
Question 30 NECO • 2022 • FURTHER_MATHEMATICS • objective

In three‑dimensional space, 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 \(|\mathbf{c}|\).

Answer Options

A. \sqrt{361}
B. \sqrt{289}
Correct Answer C. \sqrt{301}
D. \sqrt{225}
Correct Answer
C
Correct Option:
\sqrt{301}

About This Question

This is Neco 2022 Further Mathematics Question 30. It is one of the objective questions from the 2022 Neco Further Mathematics examination.

Difficulty level: Medium .

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