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Question Number 124393 by n0y0n last updated on 03/Dec/20

Answered by Kunal12588 last updated on 03/Dec/20

1. l_1 :−i+3j+2k+ν(−3i−j−4k)  (5,λ,μ) lies on l_1   ⇒ν=((5+1)/(−3))=−2  λ=3−ν=5  μ=2−4ν=10

$$\mathrm{1}.\:{l}_{\mathrm{1}} :−{i}+\mathrm{3}{j}+\mathrm{2}{k}+\nu\left(−\mathrm{3}{i}−{j}−\mathrm{4}{k}\right) \\ $$$$\left(\mathrm{5},\lambda,\mu\right)\:{lies}\:{on}\:{l}_{\mathrm{1}} \\ $$$$\Rightarrow\nu=\frac{\mathrm{5}+\mathrm{1}}{−\mathrm{3}}=−\mathrm{2} \\ $$$$\lambda=\mathrm{3}−\nu=\mathrm{5} \\ $$$$\mu=\mathrm{2}−\mathrm{4}\nu=\mathrm{10} \\ $$

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