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Find the value of so that the lines l1: ...

Find the value of so that the lines l1: `(1-x)/3 = (7y-14)/(2lambda) =(z-3)/2` and l2: `(7-7x)/(3lambda) = (y-5)/1 = (6-z)/5` are at right angle. Also find the equation of a line passing through the point (3,2,-4) and parallel to l1.

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Find the value of p so that the lines : l_1:(1-x)/3=(7y-14)/(2p)=(z-3)/2 and l_2: (7-7x)/(3p)=(y-5)/1=(6-z)/5 are at right angles. also find the equations of the line passing through (3,2,-4) and parallel to line l_1 .

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 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.

(i) Find the value of 'p' so that the lines : l_(1) : (1 - x)/(3) = (7y -14)/(2p) = (z - 3)/(2) and l_(2) : (7 -7x)/(3p) = (y - 5)/(1) = (6 - z)/(5) are at right angles. Also, find the equations of the line passing through (3,2, -4) and parallel to line l_(1) . (ii) Find 'k' so that the lines : (x - 3)/(2) = (y + 1)/(3 ) = (z - 2)/(2k) and (x + 2)/(1) = (4 -y)/(k) = (z + 5)/(1) 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.

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

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.

Fiind m, if the lines (1-x)/(3)= ( 7y-14)/(2m ) = (z-3) /(2) and ( 7-7x)/(3m) = (y-5)/(1) = (6-z)/(5) are at right angles.