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

If the lines (x-1)/(-3)=(y-2)/(-2k)=(z-3)/2 and (x-1)/k=(y-2)/1=(z-3)/5 are perpendicular, find the value of k and hence find the equation of plane containing these lines.

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 .

If the lines (x-1)/(-3)=(y-2)/(2k)=(z-3)/(2)a n d(x-1)/(3k)=(y-5)/1=(z-6)/(-5) are at right angel, then find the value of kdot

If the line (x-1)/(-3) = (y-2)/(2k) = (z-3)/( 2) and (x-1)/( 3k) = (y-5)/(1) = (6-z)/(5) are mutually perpendicular, then k is equal to

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.

The value of k so that (x-1)/(-3) = (y-2)/(2k) = (z-4)/(2) and (x-1)/(3k) = (y-1)/(1) = (z-6)/(-5) may be perpendicular is given by :

In sub-parts (i) and (ii) choose the correct option and in sub-parts (iii) to (v), answer the questions as instructed. Find k so that the lines (1-x)/(3)=(y-2)/(2k)=(z-3)/(2) and (x-1)/(3k)=(y-5)/(1)=(6-z)/(5) are at right angles .

The lines (x-2)/(1) = (y-3)/(1) =(z-4)/(-k) and (x-3)/(k)=(y-4)/(1) = (z-5)/(1) are coplanar if the values of k are

The equation of the plane passing through the poit of intersection of the lines (x-1)/(3)=(y-2)/(1)=(z-3)/(2),(x-3)/(1)=(y-1)/(2)=(z-2)/(3) and perpendicular to the line (x-2)/(2)=(y-3)/(3)=(z-2)/(1) is P = 0. If the distance of the point (1, 1, 3) from P = 0 is k units, then the value of (k^(2))/(2) is equal to

The lines (x-1)/(3) = (y+1)/(2) = (z-1)/(5) and x= (y-1)/(3) = (z+1)/(-2)