Find the vector equation of the line passing through the point A(1, 2, –1) and parallel to the line `5x – 25 = 14 – 7y = 35z`.

(A) The cartesian equations of a line are : (i) (x - 5)/(3) = (y + 4)/(7) = (z - 6)/(2) (ii) (x + 3)/(2) = (y - 5)/(4) = (z + 6)/(2) . Find the vector equations of the lines. (b) find the vector equation of the line passing through the point A (1,2, - 1) and parallel to the line : 5 x - 25 = 14 - 7y = 35 z.

Find the vector equation for the line passing through the points (-1,0,2) and

Find the vector equation of the line passing throught the point ( -1, - 1, 2 ) and parallel to the line 2x - 2 = 3y + 1 = 6 z - 2 .

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

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 point (5, 1) and parallel to the line 7x – 2y + 5 = 0.

Find the equation of a line passing through the points (3,5) and (-2, 1).

The vector equation of the line passing through the points (1,-2,5) and (-2,1,3) is

Find the vector equation of the line passing through the point (1,-1,2) and perpendicular to the plane 4x-2y-5z-2=0