If lx+my+nz=p is equation of a plane in normal form, then

Equation of plane in normal form

Derive the equation of a plane in normal form both in the vector and Cartesian form .

Parametric form of the equation of the plane is bar r =(2hati + hatk ) + lambda hati + mu (hati + 2hati-3 hatk) lambda and mu are parameters. Find normal to the plane and hence equation of the plane in normal form. Write its Cartesion form.

Write the equation of a plane in the normal form and explain the terms.

If the equation of a plane is lx + my + nz = p which is in the normal form, then which one of the following is not true?

If the equation of a plane is lx+my+nz=p which is in the normal form,then which one of the following is not true?

Any first degree equation in x, y and z represents a plane i.e., ax+by+cz+d=0 is the general equation of a plane. If p be the length of perpendicular from the origin to a plane and d.c. of this normal is lt l, m n gt , then the equation of the plane in the normal form is lx+my+nz=p_(1) . Vector equation of a plane passing through a point having position vector vec(a) and normal to vector vec(n) is (vec(r)-vec(a))vec(n)=0" or "vec(r).vec(n)=vec(a).vec(n) Suppose a vector vec(n) of magnitude 2sqrt(3) such that it makes equal acual angles with the co-ordinate axes. If vec(n) is a normal to the plane containing the point (1,-1,2) . Cartesian equation of the plane is

Any first degree equation in x, y and z represents a plane i.e., ax+by+cz+d=0 is the general equation of a plane. If p be the length of perpendicular from the origin to a plane and d.c. of this normal is lt l, m n gt , then the equation of the plane in the normal form is lx+my+nz=p_(1) . Vector equation of a plane passing through a point having position vector vec(a) and normal to vector vec(n) is (vec(r)-vec(a))vec(n)=0" or "vec(r).vec(n)=vec(a).vec(n) Suppose a vector vec(n) of magnitude 2sqrt(3) such that it makes equal acual angles with the co-ordinate axes. If vec(n) is a normal to the plane containing the point (1,-1,2) . The vector vec(n) is equal to