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 vector and Cartesian equations of the plane passing throgh the point (2,-1,1) and perpendicular to the line having direction ratios 4,2,-3.

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 vector and cartesian equation of the plane : (i) that passes through the point (5,2,-4) and perpendicular to the line with direction-ratios lt 2, 3, -1 gt (ii) that passes through the point (1,0, -2) and the normal to the plane is hati + hatj - hatk (iii) that passes through the point (1,4,6) and the normal vector to the plane is hati - 2 hatj + hatk .

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

Find the vector and Cartesian equations of the line passing through the points A(2,-3,0) and B(-2,4,3).

The equation of a line passing through the point (-1,4,6) and perpendicular to the lines with direction ratios 2,-6,-3 and 4,3,-1 is

The equation of a line passing through the point (3,-1,4) and perpendicular to the lines with direction ratios 3,2,-4 and 2,-3,2 is