Find the vector and the Cartesian equations of the plane passing through the point `(1,2,3)` and perpendicular to the line with direction ratio `2,3,-4.`

Find the vector and the Cartesian equation of the plane which pases through the point (5,2,-4) and perpendicular to the line with direction ratios (2,3,-1).

Find the vector and cartesian equations of the plane which passes through the point (5, 2, 4) and perpendicular to the line with direction ratios (2, 3, 1) .

Find the Cartesian equation of the line passing through the points (-1, 0,2) and (3,4,6)

The vector equation of the line passing through the point (-1,5,4) and perpendicular to the plane z=0 is

Find the vector and cartesian equation of a line passes through the points (1,3,2) and origin.

Find the equation of a line passes through the point (-2,1) and perpendicular to the line 3x+y=5 .

Find the vector equation of tha plane which passes through the point (3, 2, -3) and perpendicular to a line with direction ratios (1, 2, -1).

Find the equation of the plane passing through (-2,1,3) and perpendicular to the line having direction ration lt 3,1,5 gt.

Find the vector and the cartesian equations of the lines that passes through the origin and (5, 2, 3) .

Find the vector and cartesian equation of a plane which passes through the point (2,-1,3) and perpendicular to a line whose d.r.'s are 1,-3,5 .