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 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 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 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 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 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 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 .

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

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

Find the vector and Cartesian equations of the line passing through the points A(3,4-6) and B(5,-2,7) .