By analysing the normals, determine how the three planes intersect. T: X- 5y +2z-10 = 0...

  

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By analysing the normals, determine how the three planes intersect. T₁: X- 5y +2z-10 = 0 ₂: [x, y, z] = [0, 0, 3] + s[2, 0, 1] + [7, −1, 0] 13: 8x + 5y + z-20 = 0 Solve the following system, if possible. T₁: X+3y-z+9=0 ₂: x-y+z-11 = 0 P3: [X, y, z] = [1, 0, 1] + s[2, 1, −1] + [4, 0, -1]. Find either the point of intersection or the direction vector of the line of intersection or state the system is inconsistent. By analysing the normals, determine how the three planes intersect. T₁: X- 5y +2z-10 = 0 ₂: [x, y, z] = [0, 0, 3] + s[2, 0, 1] + [7, −1, 0] 13: 8x + 5y + z-20 = 0 Solve the following system, if possible. T₁: X+3y-z+9=0 ₂: x-y+z-11 = 0 P3: [X, y, z] = [1, 0, 1] + s[2, 1, −1] + [4, 0, -1]. Find either the point of intersection or the direction vector of the line of intersection or state the system is inconsistent.

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Answer To determine how the three planes intersect we first need to find the normal vectors to each plane The normal vector to a plane with equation A... View the full answer