Find the values of p so that the lines `(1-x)/3=(7y-14)/(2p)=(z-3)/2`and `(7-7x)/(3p)=(y-5)/1=(6-z)/5`are at right angles.

Find the value of p so that the lines (1-x)/(3)= (7y-14)/(2p)= (z-3)/(2) and (7-7x)/(3p)= (y-5)/(1)= (6-z)/(5) are at right angles

Find the values p so that line (1-x)/3=(7y-14)/(2p)=(z-3)/2a n d(7-7x)/(3p)=(y-5)/1=(6-z)/5 are at right angles.

Find the values p so that line (1-x)/3=(7y-14)/(2p)=(z-3)/2a n d(7-7x)/(3p)=(y-5)/1=(6-z)/5 are at right angles.

Find the value of lamda so that the lines (1-x)/(3)=(7y-14)/(2lamda)=(z-3)/(2) and (7-7x)/(3lamda)=(y-5)/(1)=(6-z)/(5) are at right angles.

Find the value of k so that the lines (1-x)/(3) = (y-2)/(2k) = (z-3)/(2) and (1+x)/(3k) = (y-1)/(1) = (6-z)/(7) are perpendicular to each other.

Find the value of lamda so that the straight lines: (1-x)/(3)= (7y -14)/(2 lamda)= (z-3)/(2) and (7-7x)/(3 lamda)= (y-5)/(1)= (6-z)/(5) are at right angles.

If the lines (x-1)/(-3)=(y-2)/(2k)=(z-3)/(-2) and (x-1)/(3k)=(y-5)/1=(z-6)/(-5) are at right angle, then find the value of k .

Find the shortest distance between the lines (x+1)/7=(y+1)/(-6)=(z+1)/1 and (x-3)/1=(y-5)/(-2)=(z-7)/1

Find the shortest distance between the lines (x+1)/7=(y+1)/(-6)=(z+1)/1 and (x-3)/1=(y-5)/(-2)=(z-7)/1

Find the image of the point (1, 2, 3) in the line (x-6)/(3)=(y-7)/(2)=(z-7)/(-2) .