1. Find an equation of the plane through the given points and parallel to the lines or lines given. ()(881) * * (1,3,2); x+1 = 1-2 213; x-2 y+1 2+2 3) 1 -2 2 * (0,1,2); (210, 1); X-1 y+1 2+1 3 2. Find the equation of the plane through the line L, which also satisfies the additional condition # * x-1 = y+1 I thin towbo 79 22070 stall all L : 4+1 = 2-2 through (2.1.1) 2 x-2y-2 a L₁ : 2 3 3 11 2-1 2 : parallel to x+1 y-1 = 7+1 3 2 1 t * L₁ = x+1 = 4-1 - 2-2 1 1-1 - 2-2; perpendicular to 2x + 3y - 2 + 4 =0 1. Find the equation of the plane through the given points and perpendicular to the given planes *(1, 2, -1); 2x-3y +52 -1=0; 3x + 2y + 42 + 6 = 6 * (-1,3,2); (1.6.1); 3x - y +47 - 7=0 2. Find equations in symmetric form of the line through the given point P, which is perpendicular to and intersects the given cross product. line. Use the * P(3, 3₁-1); 1= 4-3 = 2+1 * P (3, -2, 0); *-* = y-4, 2-5 -1 X- 3 3. Suppose that a is a nonzero vector. If a⋅ x = a.y and axx=axy, is it true that x = y? Justify your answer.