Alternate method for shortest distance calculation for skew lines

Shortest Distance Between Line

What is the shortest distance between two intersecting lines?

Statement 1: The shortest distance between the lines x/2=y/(-1)=z/2 and (x-1)/(-2)=(y-1)/-2=(z-1)/4 is sqrt(2) . Statement 2: The shortest distance between two parallel lines is the perpendicular distance from any point on one of the lines to the other line.

Statement 1: The shortest distance between the lines x/2=y/(-1)=z/2 and (x-1)/(4)=(y-1)/-2=(z-1)/4 is sqrt(2) . Statement 2: The shortest distance between two parallel lines is the perpendicular distance from any point on one of the lines to the other line.

Assertion: The shortest distance between the skew lines (x+3)/(-4)=(y-6)/3=z/2 and (x+2)/(-4)=y/1=(z-7)/1 is 9., Reason: Two lines are skew lines if there exists no plane passing through them. (A) Both A and R are true and R is the correct explanation of A (B) Both A and R are true R is not te correct explanation of A (C) A is true but R is false. (D) A is false but R is true.

Assertion: The shortest distance between the skew lines vecr=veca+alphavecb and vecr=vecc+beta vecd is (|[veca-vecc vecb vecd]|)/(|vecbxxvecd|) , Reason: Two lines are skew lines if they are not coplanar. (A) Both A and R are true and R is the correct explanation of A (B) Both A and R are true R is not te correct explanation of A (C) A is true but R is false. (D) A is false but R is true.

Assertion: The shortest distance between the skew lines (x+3)/(-4)=(y-6)/3=z/2 and (x+2)/(-4)=y/1=(z-7)/1 is 9., Reason: Two lines are skew lines if there exists no plane passing through them. (A) Both A and R are true and R is the correct explanation of A (B) Both A and R are true R is not te correct explanation of A (C) A is true but R is false. (D) A is false but R is true.

Assertion: The shortest distance between the skew lines vecr=veca+alphavecb and vecr=vecc+beta vecd is (|[veca-vecc vecb vecd]|)/(|vecbxxvecd|) , Reason: Two lines are skew lines if they are not coplanar. (A) Both A and R are true and R is the correct explanation of A (B) Both A and R are true R is not te correct explanation of A (C) A is true but R is false. (D) A is false but R is true.

Consider the pair of lines whose equations are . (x-2)/2=(y-1)/5=(z+3)/-3 and (x+1)/-1=(y-4)/8=(z-5)/4 Find the shortest distance between the above skew lines.