Neco Model Questions Vol1 2019 Mathematics Question 23
Practice objective / multiple choice question 23 from the 2019 Neco Model Questions Vol1 Mathematics examination.
In a plane, vectors \(\mathbf{a}\) and \(\mathbf{b}\) satisfy \(|\mathbf{a}| = 5\), \(|\mathbf{b}| = 7\) and the angle between them is \(60^{\circ}\). Let \(\mathbf{c} = 2\mathbf{a} - 3\mathbf{b}\). Find the scalar \(k\) such that the vector \(\mathbf{d} = \mathbf{a} + k\mathbf{b}\) is perpendicular to \(\mathbf{c}\), and then compute the magnitude \(|\mathbf{d}|\) (give the magnitude to two decimal places).
Answer Options
About This Question
This is Neco Model Questions Vol1 2019 Mathematics Question 23. It is one of the objective questions from the 2019 Neco Model Questions Vol1 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.