Find the equation of plane which is at a distance `4/(sqrt(14))` from the origin and is normal to vector `2 hat i+ hat j-3 hat kdot`

Find the vector equation of a plane which is at a distance of 8units from the origin and which is normal to the vector 2hat i+hat j+2hat k

Find the vector equation of a plane which is at a distance of 5 units from the origin and which is normal to the vector hat i-2 hat j-2 hat kdot

Find the vector equation of a plane which is at a distance of 5 units from the origin and its normal vector is 2hat i-3hat j+6hat k.

Find the vector equation of a plane which is at a distance of 7 units from the origin and normal to the vector 3hat i+5hat j-6hat k

The vector equation of plane which is at a distance of 8 unit from the origin and which is normal to the vector 2hat(i)+hat(j)+2hat(k) is r*(2hat(i)+hat(j)+2hat(k))=lamda , where lamda is equal to

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

Find the vector equation for the line which passes through the point (1, ,2 3) and parallel to the vector hat i-2 hat j+3 hat kdot reduce the corresponding equation in the Cartesian from.

Find the vector and Cartesian equations of a plane which passes through the point (1,4,6) and normal vector to the plane is (hat i-2hat j+hat k)

Find the equation of the line in vector and in cartesian form that passes through the point with position vector 2hat i-hat j+4hat k and is in the direction hat i+2hat j-hat k