Igcse Model Questions Vol1 2018 Mathematics Question 16

Practice objective / multiple choice question 16 from the 2018 Igcse Model Questions Vol1 Mathematics examination.

Igcse Model Questions Vol1 2018 Mathematics Objective / Multiple Choice Hard Difficulty
Question 16 IGCSE_MODEL_QUESTIONS_VOL1 • 2018 • MATHEMATICS • objective

Vector \(\mathbf{a}\) is \((2,\,-1,\,3)\) and vector \(\mathbf{b}\) is \((1,\,4,\,k)\). A vector \(\mathbf{c}\) is defined by \(\mathbf{c}= \mathbf{a}+ \lambda \mathbf{b}\). It is known that \(\mathbf{c}\) is perpendicular to \(\mathbf{a}\) and that \(|\mathbf{c}| = 10\). Find the possible ordered pairs \((k,\lambda)\).

Answer Options

Correct Answer A. (2.859, -2.128) or (-1.212, 2.485)
B. (3.000, -1.500) or (-0.500, 3.200)
C. (2.500, -2.000) or (-1.000, 2.000)
D. (3.100, -2.300) or (-1.300, 2.600)
Correct Answer
A
Correct Option:
(2.859, -2.128) or (-1.212, 2.485)

About This Question

This is Igcse Model Questions Vol1 2018 Mathematics Question 16. It is one of the objective questions from the 2018 Igcse Model Questions Vol1 Mathematics examination.

Difficulty level: Hard .

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