Gce Model Questions Vol1 2023 Further Mathematics Question 18
Practice objective / multiple choice question 18 from the 2023 Gce Model Questions Vol1 Further Mathematics examination.
Let \(\mathbf{a}= (2,-1,3)\) and \(\mathbf{b}= (k,4,-2)\). Define \(\mathbf{c}= \mathbf{a}+ \lambda \mathbf{b}\). The vector \(\mathbf{c}\) is orthogonal to \(\mathbf{d}= (1,2,k)\) and has magnitude \(|\mathbf{c}|= \sqrt{14}\). Find the values of \(k\) and \(\lambda\).
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About This Question
This is Gce Model Questions Vol1 2023 Further Mathematics Question 18. It is one of the objective questions from the 2023 Gce Model Questions Vol1 Further Mathematics examination.
Difficulty level: Medium .
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