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……

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