QUESTIONS 1) Which of the following is an equation for the plane that contains the point...
--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).
1. 2. Find an equation for the plane that is perpendicular to the plane 2.1 + y + 2z = 1 and contains the line Lor=2+t, y = 1+ 4t, z = 1+ 4t. Find the equation of the tangent plane to the surface 2z - 12 = 0 at the point (2,0,2).
Find the equation for the plane through Po(-1, -7,4) perpendicular to the following line. x= - 1+t, y= - 7+ 3t, z = -5t, -o0<t<00 The equation of the plane is 0.
QUESTION 3 Find an equation of the plane that contains the point (1,2, -3) and the line with sym- 2 + 2 metric equations r - 2-y-1- 2 OA 3.1 +y - 23 = 11 Obrty - 23 = 9 04 4.1 – 2y – 3: = 9 00 51 + y +2 = 4 2x -y +2 = -3 QUESTION 4
Find an equation of the plane that passes through the point (9,4,0) and contains the line x = −4−t , y = −2+6 t , z = 4+8 t
Find an equation of the plane. The plane through the point (3, 0, 1) and perpendicular to the line x = 6t, y = 2 − t, z = 9 + 4t
Can you Please answer these questions Multi Variable Calc 23. Parameterize the line of intersection of the planes 3y-22-4 and 61 2y +32-2. 25. Find a Cartesian equation for the plane conatining the line C(t) (2 t, 3 + 2t,t),-oo < t < oo and perpendicular to the plane r-y + z 3.
In R”, find a point normal equation for the plane II which contains the line (1,1,1) + t(15, -6, -2) together with the point Q(–7, 18, –2) Answer: one such point normal equation for II is X +
5. Find the equation of the plane which passes through the point (6,0,-2) and contains the line x = 4-2, y = 3 + 5t, and z 7+4t.
Question 9: Plane through point and line A plane contains the point P(-1,2,3) and the line L(t), where L(t) is given by equation (2, 4t - 3,1 – 4t). Find the equation of this plane. Type in the equation of the plane with the accuracy of at least 3 significant figures for each coefficient 1 ) x + ( Dy+ ( )= / Save & Grade Save only