pravin19

Yeah, are my answers right?

Determine scalar, vector and parametric equations for the plane that passes through the points A(1,-2,0), B(1,-2,2), and C(0,3,2). This is what I got... AB AB=OA-OB =(1,-2,2)-(1,-2,0) =(0,0,2) AC=OA-OC =(0,3,2)-(1,-2,0) =(-1,5,2) AB x AC (0)(2)-(5)(2) =0-10 =-10 (2)(-1)-(2)(0) =-2-0 =-2 (0)(5)-(-1)(0) =0 The normal vector is (-10,-2,0). -10x-2y+0z+d=0 -10(1)-2(-2)+0(0)+d=0 -10+4+d=0 -6+d=0 d=6 The scalar equation is -10x-2y+6=0 The vector equation is (1,-2,0) + s(0,0,2) + t(-1,5,2) Parametric Equations: x=1-t y=-2+5t z=2s+2t Did I do this right? Thanks for the help in advance.