Neco Model Questions Vol1 2023 Mathematics Question 21

Practice objective / multiple choice question 21 from the 2023 Neco Model Questions Vol1 Mathematics examination.

Neco Model Questions Vol1 2023 Mathematics Objective / Multiple Choice Hard Difficulty
Question 21 NECO_MODEL_QUESTIONS_VOL1 • 2023 • MATHEMATICS • objective

The vectors \(\mathbf{a}\) and \(\mathbf{b}\) lie in a plane with \(|\mathbf{a}| = 5\) cm, \(|\mathbf{b}| = 12\) cm and the angle between them \(45^{\circ}\). Determine the scalar \(k\) for which the vector \(\mathbf{c}= \mathbf{a}+k\mathbf{b}\) is perpendicular to \(\mathbf{b}\). Then find the magnitude of \(\mathbf{c}\).

Answer Options

A. k = \\frac{5\\sqrt{2}}{24}, \\; |\\mathbf{c}| = \\frac{5\\sqrt{2}}{2}
B. k = -\\frac{5\\sqrt{2}}{12}, \\; |\\mathbf{c}| = \\frac{5\\sqrt{2}}{4}
C. k = -\\frac{5}{24}, \\; |\\mathbf{c}| = \\frac{5\\sqrt{2}}{2}
Correct Answer D. k = -\frac{5\sqrt{2}}{24}, \; |\mathbf{c}| = \frac{5\sqrt{2}}{2}
Correct Answer
D
Correct Option:
k = -\frac{5\sqrt{2}}{24}, \; |\mathbf{c}| = \frac{5\sqrt{2}}{2}

About This Question

This is Neco Model Questions Vol1 2023 Mathematics Question 21. It is one of the objective questions from the 2023 Neco Model Questions Vol1 Mathematics examination.

Difficulty level: Hard .

View More Neco Model Questions Vol1 2023 Mathematics Questions More Neco Model Questions Vol1 Practice Questions Back to Questions

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