Neco 2017 Further Mathematics Question 24

Practice objective / multiple choice question 24 from the 2017 Neco Further Mathematics examination.

Neco 2017 Further Mathematics Objective / Multiple Choice Medium Difficulty
Question 24 NECO • 2017 • FURTHER_MATHEMATICS • objective

Vectors \\(\\mathbf{a}\\) and \\(\\mathbf{b}\\) in three dimensions satisfy \\(|\\mathbf{a}| = 5\\), \\(|\\mathbf{b}| = 7\\) and \\(\\mathbf{a}\\cdot\\mathbf{b} = 20\\). Let \\(\\mathbf{c} = 2\\mathbf{a} - 3\\mathbf{b}\\). Find the magnitude \\(|\\mathbf{c}|\\).

Answer Options

A. \\sqrt{361}
Correct Answer B. \\sqrt{301}
C. \\sqrt{289}
D. \\sqrt{325}
Correct Answer
B
Correct Option:
\\sqrt{301}

About This Question

This is Neco 2017 Further Mathematics Question 24. It is one of the objective questions from the 2017 Neco Further Mathematics examination.

Difficulty level: Medium .

Master the Exam!

You've seen a preview, but there are thousands more questions plus AI tutor to break down complex solutions.

Unlock Full Access Available for Android & Windows
Chat with Support