please explain thank you. 10. Find equation of the plane through the point (1,-1,-1) and parallel...
Find an equation of the plane. The plane through the point (8, -7,-8) and parallel to the plane 5x - y -z = 1
Please provide clear handwritings for answers and specific step
by step explanations of questions 3 and 4. Thank you.
3. Are the plane 6z 3y - 4z-12 and line L 2, y 32t, z2-2t parallel? If so, find the distance between them. If they are not parallel, but are intersecting (at a single point), find the point of intersection. If they are none of the above, draw a cat. 4. The line r(t) = 〈1, 1,1〉 +t(1,3,-1) and the plane...
1 of 8 - 1 Question 1 of 8 Find the equation of a plane that contains the line *72 = V+3 IL and is parallel to the plane 2x-3y+2z=0. 4 O A 2x - 3y +2z = 12 O B. 2x - 3y +2z = 15 O c. 2x + 3y +2z = 15 O D. 2x - 3y +2z = -12 O E. 2x - 3y +2z = -15 Reset Selection Next Save ET
(1 point) Find the angle of intersection of the plane 3x + 3y – 4z = –2 with the plane -5x – 5y – 2z = -4. Answer in radians: and in degrees:
(5) Equations for Planes. (a) Find an equation of the plane passing through (1,2,3) that is parallel to the plane r -y + 2z = 5. (b) Find an equation of the plane passing through the point (0,1,0) and containing the line r = (-t, 2t, 4t).
Find the equation of the plane through the point (-2,8,10) and parallel to the line x=1+t, y=2t, z=4-3t
(6 pts.) Find the equation of the plane passing through the point (12,-3,5) and parallel to u=(4,4,0) and v = (3,-1,6).
Find the equation for a plane containing 3 points: A(2, 2,1) in the form: ax+by+cz+d = 0 C(0, -2,1). Put the plane equation B(3,1, 0) х — 3 z+2 = y+5 = 2 L: Find the intersection point between 2 lines whose symmetric equations are: 4 х-2 L, : у-2 = z-3 -3 Find the parametric equation for a line that is going through point A(2,4,6) and perpendicular to the plane 5х-3у+2z-4%3D0. Name: x-3y4z 10 Find the distance between 2...
--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).
10. Write an equation for the plane containig the points (-7,2,1). (9.0,-2) and (-5, -1,2). Is this plane parallel, perpendicular or neither to the plane 2x - 3y + 2 = 5? 11. Consider the line that passes through the point (6, -5,2) and that is parallel to the vector (-1, 1, 3). (a) Find symmetric equations for this line (b) Find the point at which this line passes through the yz-plane.