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By analysing the normals, determine how the three planes intersect. T: X- 5y +2z-10 = 0 : [x, y, z] = [0, 0, 3]

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By analysing the normals, determine how the three planes intersect. T: X- 5y +2z-10 = 0 : [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. T: X+3y-z+9=0 : 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... blur-text-image

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