Find the equation of the line at a distance of 3 units from the origin and having inclination `120^(@)`.

Find the equation of the plane which is at a distance of 5 units fom the origin and perpendiculat to 2hati-3hatj+6hatk

Find the equation of the line which is ata distance of 3 units from the origin such that tan alpha=(5)/(12) , where alpha is the acute angle which this perpendicular makes with the positive direction of the x-axis.

Find the equation of a plane which is at a distance of 3sqrt(3) units from the origin and the normal to which is equally inclined with the coordinate axes.

Find the vector equation of a plane at a distance of 5 units from the origin and has hat i as the unit vector normal to it.

Find the equation f the straight line at a distance of 3 units from the origin such that the perpendicular from the origin to the line makes and angle alpha given by tan alpha=(5)/(12) with the positive direction of x-axis.

Find the vector equation of a plane which is at a distance of 3 units from the origin and has hat k as the unit vector normal to it.

Find the vector equation of a plane which is at a distance of 7 units from the origin and which is normal to the vector 3 hati + 5 hatj - 6 hatk . (ii) Find the vector equation of a plane , which is at a distance of 5 units from the origin and its normal vector is 2 hati - 3 hatj + 6 hatk .

Find the vector equation of a plane which is at a distance of 4 units from the origin and which has (2hati-3hatj+6hatk) as the normal vector.

Find the equation of a line which is at a distance of 5 units from origin and the perpendicular from origin to this line makes an angle alpha from the positive direction of X -axis where tan alpha=(4)/(3) .

Find the equation of a line which is at a distance of 2 units from origin and the perpendicular from origin to this line makes an angle tan^(-1)"(12)/(5) from positive direction of X -axis.