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 (2,-5) and parallel to the line 2x-3y=7.

Find the equations of the line passing through the point (-1, 2,1 ) and parallel to the line (2x-1)/4=(3y+5)/2=(2-z)/3dot

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 plane passing through the point (3,4,1) and (0,1,0) and parallel to the line (x+3)/(2)=(y-3)/(7)=(z-2)/(5)

Find the equation of a line passes through the point (1,3) and parallel to the line 3x-5y+7=0 .

Find the equation of a line passing through the point (0,1) and parallel to : 3x-2y+5=0

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

Find the Cartesian equation of the line which passes through the point (2,4,5) and is parallel to the line (x+3)/(3)=(4-y)/(5)=(z+8)/(6)