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The equation of a line parallel to the vector \(3\hat{i}+\hat{j}+2\hat{k}\) and passing through the point \((4,-3,7)\) i…

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The equation of a line parallel to the vector \(3\hat{i}+\hat{j}+2\hat{k}\) and passing through the point \((4,-3,7)\) is :

a

\(x=4\mathrm{t}+3,\mathrm{y}=-3\mathrm{t}+1,\mathrm{z}=7\mathrm{t}+2\)

b

\(x=3\mathrm{t}+4,\mathrm{y}=\mathrm{t}+3,\mathrm{z}=2\mathrm{t}+7\)

c

\(x=3\mathrm{t}+4,\mathrm{y}=\mathrm{t}-3,\mathrm{z}=2\mathrm{t}+7\)

d

\(x=3t+4,y=-t+3,z=2t+7\)

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