Find the equations of the line passing through the point (1,-2,3) and parallel to the line `(x-6)/(3) =(y-2)/(-4) =(z+7)/(5)`
Also find the vector form of this equations so obtained .

Find the equation of the line passing through the point(1,2,3) and parallel to the line (x-1)/2=(7-y)/3=-z .

Find the equation of the line passing through the point (2,-5) and parallel to the line 2x-3y-7=0

Find the equation of the line passing through the point (2,-5) and parallel to the line 2x-3y=7.

Find the equation of a line passing through the point (1,2,3) and parallel to the line (x-1)/(2)=(7-y)/(3)=-z .

Find the equation of the line passing through the point (-2,1) and parallel to 4x-7y+3=0.

Find the equation of a line passing through the point (2,3) and parallel to the line 3x-4y+5=0 .

Find the vector equation of the line passing through the point A(1,2,1) and parallel to the line 5x25=147y=35z

Find the equation of the line passing through the point (1,2,3) which is parallel to the line (2x-3)/(4)=(6-y)/(3)=(7z-3)/(14)

Find the Cartesian equations of the line which passes through the point (1,3-2) and is parallel to the given by ltbgt (x+1)/(3) =(y-4)/(5)=(z+3)/(-6) Also the find the vector form of the equations so obtained .

Find the equation of the line passing through the point (1,2,3), which is parallel to lines (2x-3)/(4)=(6-y)/(3)=(7z-3)/(14)