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Find the equation of the straight line t...

Find the equation of the straight line through `(x_1, y_1)` perpendicular to the line joining `(x_2, y_2) and (x_3 , y_3)`.

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(i) Find the equations of the straight line passing through the point (2,3,-1) and is perpendicular to the lines : ( x-2)/(2) = (y + 1)/(1) = (z - 3)/(-3) and (x - 3)/(1) = (y + 2)/(1) = (z - 1)/(1) . (ii) Find the equation of the line which intersects the lines : (x + 2)/(1) = (y - 3)/(2) = (z + 1)/(4) and (x - 1)/(2) = (y - 2)/(3) = (z - 3)/(4) Perpendicular and passes through the point (1,1,1) .

Find the equation of the pair of straight lines passing through the point (1,3) and perpendicular to the lines 2x-3y+1=0 and 5x+y-3=0.

Find the equation of the straight line perpendicular to 2x+3y+5=0 and passing through the point (2,-3).

Find the equation of the line passing through the point (-1,3,-2) and perpendicular to the lines : x/1=y/2=z/3 and (x+2)/-3=(y-1)/2=(z+1)/5 .