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$A line passes through the point A (\hat{i} + 2 \hat{j} + 3 \hat{k}) and is parallel to the vector \vec{V} (\hat{i} + \hat{j} + \hat{k}) .$ The shortest distance from the origin, to the line is……

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Correct option is A

Equation of line: x-11=y-21=z-31=t . Let P=(t+1,t+2,t+3) be the foot of the perpendicular from origin Then (t+1)(1)+(t+2)(1)+(t+3)(1)=0t=−2∴P=−1, 0, 1 and OP=2

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A line passes through the point A(i^+2j^+3k^) and is parallel to the vector V→(i^+j^+k^) . The shortest distance from the origin, to the line is……

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$A line passes through the point A (\hat{i} + 2 \hat{j} + 3 \hat{k}) and is parallel to the vector \vec{V} (\hat{i} + \hat{j} + \hat{k}) .$ The shortest distance from the origin, to the line is……