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4. Determine whether or not the point P(1,13,5) lies on the plane given by the equation [x, y, z] = [-3, -1,4] + s[2,4, -3] + t[1, -1,5]. [4 Marks] the plane 5. Describe each of the following lines or planes: [3 Marks] a) Line: [x, y, z] = t [0,0,1] Thinking b) Plane: x+ y = 0 c) Plane: z = 0 6. Write the equation of the given lines or planes: [3 Marks] a) the y-axis [in 3-space] b) the plane containing the x and z axes. (scalar form) c) the line (in 2-space) through the origin and perpendicular to x + y + 10 = 0