Reduce the equation `sqrt3x+y-8=0` into normal form and find :
length of the perpendicular from origin to the line.

Find the length of the perpendicular drawn from the origin to the plane 4x-y+7z+2=0

Reduce the equation 2x+6y+3z+9=0 to the normal form.

If p be the length of the perpendicular from the origin on the line x/a+y/b=1 , then

Reduce the equation sqrt3x+y-8=0 into normal form and find : angle between the normal and positive x-axis.

Reduce the equation vec r (dot(3 hat i-4 hat j+12 hat k ))=5 to normal form and hence find the length of perpendicular from the origin to the plane.

The length of the perpendicular drawn from the origin to 2x-3y+6z+21=0

Reduce the following equations into the normal form. Find their perpendicular distance from the origin and angle between perpendicular and positive direction of x-axis. (i) x-sqrt(3)y+8=0" " (ii) x-y=4 .

Find the equation of the plane passing through the point (3,-3, 1) and perpendicular to the line joining the points (3, 4, - 1) and (2, - 1,5). Also find the coordinates of the foot of the perpendicular, the equation of the perpendicular line and the length of perpendicular drawn from the origin to the plane.

Reduce the following equation into normal form. Find their perpendicular distances from the origin and angle between perpendicular and the positive x-axis.:- x-sqrt3 y+8=0

Reduce the following equation into normal form. Find their perpendicular distances from the origin and angle between perpendicular and the positive x-axis.:- y- 2 = 0,