Answer Happy

Problem 2 Given A(3; 0; 0), BA= [3; -3; -2], and BC=(-2;-3; 2]. a. Find the coordinates of points B and C Calculate the angle A in the triangle ABC b. Find the coordinates of points D when, CD=AB + AC d. Find the coordinates of point K so that ABCK, is a parallelogram. e. Show by calculation that the equation for the plane a stretched by points A, B and C is 12x + 2y + 15z - 36 = 0 f. Determine by calculation a parameter representation for the plane a g. A point E has the coordinates (0; y, z). Calculate the coordinates of E when, AE stands perpendicular to both. AB and 2. h. Calculate the volume of the pyramid ABCDO. Calculate the height of the pyramid ABCDO, where O is the vertex of the pyramid. j. Find a parameter representation for the line BO. k. Find a parameter representation for the plane that passes through A, B and G(5,-2,4). (Recall the plane ABG) L Find the equation for the plane (ABG) m. Calculate the distance from point B to line AO n. Calculate the distance from point A to line BC o. Calculate the distance from point G to the plane a I p. Calculate the angle between the plane a and the plane ABG q. Calculate the angle between the lines AD and BG 1. Calculate the angle between the line GD and the plane a (from e.).