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Find an equation of the plane. The plane through the point (8, -7,-8) and parallel to...
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
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10. Find equation of the plane through the point (1,-1,-1) and parallel to the plane 5x – 3y – 2z = 6.
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
--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).
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
(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 of the line passing through the point (1,2,4) and perpendicular to the plane x−y + z = 3
Find the equation of the line passing through the point (1,2,3), and perpendicular to the plane x + y + z = 6.
Find the normal form of the equation of the plane that passes through Find the vector form of the equation of the line in ℝ2 that passes through P = (5, −2) and is parallel to the line with general equation 5x − 4y = 2.
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.