2. (5 points) (a) Find a vector perpendicular to the plane through the points A(0, -2,0), B(4,1, -2) and C(5,3,1). (b) Find an equation of the plane through the points A, B, and C. (b) Find the area of the triangle ABC.
2. (5 points) (a) Find a vector perpendicular to the plane through the points A(0, -2,0), B(4,1, -2) and C(5,3,1). (b) Find an equation of the plane through the points A, B, and C. (b) Find the area of the triangle ABC.
Find an equation for the plane through the points (4,3,5), (1,0,-1), (0,2,-2). The Plane is?
Find a point-normal equation of the plane passing through points A(1,-1,0), B(0, 0, 2) and C(0,3,1).
four charged particles (+50nc) are placed in a 2d plane at (0,1) (2,0) (-1,0) and (2,2) find the net electric field at the origin
(41) find the equation of the plane passing through the points A(3,-2,0), B(2,0,3), and C(1,-1,1) in (i) vector form (ii) parametric form (iii) cartesian form
--1)+3y+2(z-4) 0 (9) Find an equation of the plane (a) through the point (2,0, 1) and perperndicular to the line a =3t, y 2- t,z3t+4 (b) passes through the point (1,-1,-1) parallel t the plane bz-y-z6 (c) passes through the point (3,5,-1) and contains the line a 4-t,y = -1+2t, z3t (d) passing through (-1,1,1), (0,0,2) and (3,-1,-2).
Solve the following problem อน a( 1,0) = 0, a(2,0) = f(0), 0 < θ <う
Find an equation of the plane with the given characteristics. The plane passes through (0, 0, 0), (2,0, 6), and (-3, -1, 9). Find the distance between the point and the plane. (0, 0, 0) 3x + 7y + z = 21 The position vector r describes the path of an object moving in space. Find the velocity v(t), speed s(t), and acceleration a(t), of the object. r(t) = ti + Rj+ K
5,6 please 5. Parametrize the plane P in R3 containing the points x (1,0, ), x (2,0, 1) and x3 (1,3, 1). Does the plane P contain the point (-1,3,2)? 6. Sketch and parametrize the triangle in the plane with vertices x! = (-1,-2), x2 = (2, and x3 (1,3). Does this triangle contain the origin (0, 0,0)