HW13_solns - 7/3y + 4/3 7 - 2 3. (a) In general, two planes...

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HW 13 (worksheet) Solutions 1. (a) xy: y = -1/2x + 2 xz: z = 1/2x + 2 yz: z = -y + 4 (b) xy: y = 6x + 3 xz: z = 3x yz: z = 1/2y + 3/2 (c) xy: y = 3x - 2 xz: z = -3x + 10 yz: z = -y + 8 (d) xy: x = 3 xz: x = 3 yz: z = 3/2y - 1 2. (a) xy: y = 2 xz: y = -1/2x +3/2 yz: y = 2 (b) xy: y = -x xz: z = 1/2x + 1/2 yz: z = -1/2y + 1/2 (c) xy: y = 3x - 3 xz: z = -x + 2 yz: z = -1/3y + 1 (d) xy: y = -x + 5 xz: z = 7/3x - 7 - 7/3 yz: z = -
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Unformatted text preview: 7/3y + 4/3 7 - 2 3. (a) In general, two planes intersect in a line. However, two parallel planes may not intersect, or they may be the same plane and intersect in a plane. (b) -4x - y = 12, plane (c) -x + z = -1, plane (d) y + 4z = 8, plane (e) x = t y = 12-4 t z =-1 + t 4. (a) x + y + z = 0 (b) 2x - 3y - z = -4 (c) x + y + z = 4 (d) x + 2z = 7 1...
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