If `l_1: (x-5)/3=(y-7)/(-16)=(z-3)/7 and l_2:(x-9)/3=(y-13)/8=(z-15)/(-5)` the (A) `l_1 and l_2` intersect (B) `l_1 and l_2` are skew (C) distance between `l_1 and l_2` is 14 (D) none of these

Let L_(1)=(x+3)/(-4)=(y-6)/(3)=(z)/(2) and L_(2)=(x-2)/(-4)=(y+1)/(1)=(z-6)/(1) Which of these are incorrect? (A) L_(1), L_(2) are coplanar. (B) L_(1),L_(2) are skew lines (C) Shortest distance between L_(1),L_(2) is 9 (D) (hat i-4hat j+8hat k) is a vector perpendicular to both L_(1),L_(2)

Let L_1 and L_2 be the lines whose equation are (x-3)/3=(y-8)/-1=(z-3)/1 and (x+3)/--3=(y+7)/2=(z-6)/4 and respectively. A and B are two points on L_1 and L_2 respectively such that AB is perpendicular both the lines L_1 and L_2. Find points A, B and hence find shortest distance between lines L_1 and L_2

If the lines L_(1):(x-1)/(3)=(y-lambda)/(1)=(z-3)/(2) and L_(2):(x-3)/(1)=(y-1)/(2)=(z-2)/(3) are coplanar, then the equation of the plane passing through the point of intersection of L_(1)&L_(2) which is at a maximum distance from the origin is

Let L_(1) and L_(2) be the foollowing straight lines. L_(1): (x-1)/(1)=(y)/(-1)=(z-1)/(3) and L_(2): (x-1)/(-3)=(y)/(-1)=(z-1)/(1) Suppose the striight line L:(x-alpha)/(l)=(y-m)/(m)=(z-gamma)/(-2) lies in the plane containing L_(1) and L_(2) and passes throug the point of intersection of L_(1) and L_(2) if the L bisects the acute angle between the lines L_(1) and L_(2) , then which of the following statements is /are TRUE ?

Consider the line L_(1):(x+1)/(3)=(y+2)/(1)=(z+1)/(2),L_(2):(x-2)/(1)=(y+2)/(2)=(z-3)/(3) The shortest distance between L_(1) and L_(2) is

Consider the line L_(1):(x+1)/(3)=(y+2)/(1)=(z+1)/(2),L_(2):(x-2)/(1)=(y+2)/(2)=(z-3)/(3) The shortest distance between L_(1) and L_(2) is