Neco 2017 Mathematics Question 7

Practice objective / multiple choice question 7 from the 2017 Neco Mathematics examination.

Neco 2017 Mathematics Objective / Multiple Choice Hard Difficulty
Question 7 NECO • 2017 • MATHEMATICS • objective

Two vectors \(\mathbf{a}\) and \(\mathbf{b}\) in a plane satisfy \(|\mathbf{a}| = 5\), \(|\mathbf{b}| = 7\) and the vector \(\mathbf{c}=2\mathbf{a}-3\mathbf{b}\) has magnitude \(13\). Determine the angle \(\theta\) between \(\mathbf{a}\) and \(\mathbf{b}\) (give your answer as \(\cos^{-1}\left(\frac{31}{35}\right)\) or to one decimal place in degrees).

Answer Options

A. \cos^{-1}\left(\frac{31}{34}\right)
B. \cos^{-1}\left(\frac{33}{35}\right)
Correct Answer C. \cos^{-1}\left(\frac{31}{35}\right)
D. \cos^{-1}\left(\frac{29}{35}\right)
Correct Answer
C
Correct Option:
\cos^{-1}\left(\frac{31}{35}\right)

About This Question

This is Neco 2017 Mathematics Question 7. It is one of the objective questions from the 2017 Neco Mathematics examination.

Difficulty level: Hard .

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