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The Cartesian equation of the line passing through the point \((1,-3,2)\) and parallel to the line : \(\vec{\mathrm{r}}=…

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The Cartesian equation of the line passing through the point \((1,-3,2)\) and parallel to the line : \(\vec{\mathrm{r}}=(2+\lambda )\hat{\mathrm{i}}+\lambda \hat{\mathrm{j}}+(2\lambda -1)\hat{\mathrm{k}}\) is

a

\(\frac{\mathrm{x}-1}{2}=\frac{\mathrm{y}+3}{0}=\frac{\mathrm{z}-2}{-1}\)

b

\(\frac{\mathrm{x}+1}{1}=\frac{\mathrm{y}-3}{1}=\frac{\mathrm{z}+2}{2}\)

c

\(\frac{\mathrm{x}+1}{2}=\frac{\mathrm{y}-3}{0}=\frac{\mathrm{z}+2}{-1}\)

d

\(\frac{\mathrm{x}-1}{1}=\frac{\mathrm{y}+3}{1}=\frac{\mathrm{z}-2}{2}\)

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