Find the distance of the point `(-1,-5,-10)` from the point of intersection of the line ` vec r=2 hat i- hat j+2 hat k+lambda(3 hat i+4 hat j+2 hat k)` and the plane ` vec rdot( hat i- hat j+ hat k)=5.`

Answer

Hence the distance between these two points is `sqrt([(2-(-1))^(2)+(-1+5)^(2)+(2-(10)^(2))])` i.e., 13