1) Find the equation of the plane containing all points that are equidistant from the points A(1, 0, 8) and B(-1, -2, 4). How far are A and Bfrom the plane? A ( 1- (-1), 0-1- 21, 8-4) N , 2 4 0 ( 1 + ( -1) , / + ( - 2 ) , 8 + 4 ) = 2 ( x - 0 1 + 2 (2 + X ) + 4 ( 2 - 6 ) = 0 > * + 2 4 + 1 + 42- 24=0 >x+ >y + 48 = y Equation of the plane The distance for A and B from the plane is 23 14.5 an 32 - jon exam Quiz Thesda2) Let three vertices of a triangle be A(4, 0, 1), B (1, 5, 2), and C(-4, 1, -3). Write the equations of lines AB, AC, and BC. b. Is this a right triangle? How do you know?-) Yes, because both What is the area of the triangle? A and C has 4 unit AB = ( 1- 4)i+15-0) 3+ (2-1)k for its * value. these are not lines, 2 = 1- 4,417+ (1-05+(- 3-1/16 just directions = - 81+15- 4k > - 4 -4 = ( - 20 - 1 ) i - (12 + 8 ) ] + ( - 3 + 8 ) k = - 210 - 203 +5k +( 2 1 42 441 1441 + 400 + 75 2 ( 846 47 = 846 (423 14 94 = 3Jay 47