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Li att ~~., , 1, @ units 4 ants © og, 2, , N v6 5. X= units, , 13.5 39, , ) ana (=, $e, , , , ach other 8. m 1, , | PLANE |, , rmal form of the equation of plane is, , p (vector form), where n is the unit vector along the normal, , , , » is the distance of the plane from the origin., +my +nz=p (cartesian form), where |, m, n are the direction, cosines of normal to the plane and p is the length of the normal from, , the origin., , ation of the plane in vector form passing through the point A@) and, , , , nerpendicular to the vector is, is |, , ;—a)-n=0 OR rn=an, |, , , , 3. Every equation of the form ret=d represents a plane. |, 4. Any linear equation in.x, y, z, i.e: ax+ by +ez + d = Orepresentsaplane. |, 5, The length of perpendicular from the origin to the plane |, , ax+by+at+d=0is |, , and the direction cosines of the normal to the plane are |, , , , a b te |, Ja +b +e Jatete Jatbh +c |, 6. Equation of the plane passing through the point |, , (tp Yp 1) is a — xy) FOO = Ys) +e(z— 24) 5%, are the direction ratios of the normal to the plane. |, , , , where a, b, ¢