Neco Model Questions Vol1 2018 Mathematics Question 30

Practice objective / multiple choice question 30 from the 2018 Neco Model Questions Vol1 Mathematics examination. This question covers General .

Neco Model Questions Vol1 2018 Mathematics Objective / Multiple Choice 1 Difficulty
Topic: General
Question 30 NECO_MODEL_QUESTIONS_VOL1 • 2018 • MATHEMATICS • objective

Let vectors \(\mathbf{a}\) and \(\mathbf{b}\) satisfy \(|\mathbf{a}| = 6\) and \(|\mathbf{b}| = 8\). Define \(\mathbf{c} = \mathbf{a} + \lambda \mathbf{b}\). If \(\mathbf{c}\) is perpendicular to \(\mathbf{a}\) and \(|\mathbf{c}| = 10\), determine the value of \(\lambda\) and the cosine of the angle between \(\mathbf{a}\) and \(\mathbf{b}\).

Answer Options

A. \( \lambda = -\frac{ \sqrt{34} }{4} , \; \cos\theta = - \frac{3}{\sqrt{34} } \)
Correct Answer B. \( \lambda = \frac{ \sqrt{34} }{4} , \; \cos\theta = - \frac{3}{\sqrt{34} } \)
C. \( \lambda = \frac{ \sqrt{34} }{2} , \; \cos\theta = - \frac{5}{ \sqrt{34} } \ \)
D. \( \lambda = \frac{ \sqrt{34} }{4} , \; \cos\theta = \frac{3}{ \sqrt{34} } \)
Correct Answer
B
Correct Option:
\( \lambda = \frac{ \sqrt{34} }{4} , \; \cos\theta = - \frac{3}{\sqrt{34} } \)

About This Question

This is Neco Model Questions Vol1 2018 Mathematics Question 30. It is one of the objective questions from the 2018 Neco Model Questions Vol1 Mathematics examination.

The question covers General .

Difficulty level: 1 .

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