Neco 2022 Mathematics Question 26

Practice objective / multiple choice question 26 from the 2022 Neco Mathematics examination.

Neco 2022 Mathematics Objective / Multiple Choice Hard Difficulty
Question 26 NECO • 2022 • MATHEMATICS • objective

Given vectors \\(\\mathbf{u}\\) and \\(\\mathbf{v}\\) in the plane with magnitudes \\(|\\mathbf{u}| = 7\\) and \\(|\\mathbf{v}| = 9\\) respectively, and \\(|\\mathbf{u}+\\mathbf{v}| = 13\\). Find (i) the angle between \\mathbf{u} and \\mathbf{v} (to the nearest degree), and (ii) the magnitude of the vector \\mathbf{w}=3\\mathbf{u}-4\\mathbf{v} expressed in simplest radical form.

Answer Options

A. 75°, 3\\sqrt{139}
B. 60°, 3\\sqrt{145}
Correct Answer C. 72°, 3\sqrt{141}
D. 84°, 5\\sqrt{141}
Correct Answer
C
Correct Option:
72°, 3\sqrt{141}

About This Question

This is Neco 2022 Mathematics Question 26. It is one of the objective questions from the 2022 Neco Mathematics examination.

Difficulty level: Hard .

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