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3. Complete the following questions using the following planes T?: 2x + 4y-6z -2 = 0 T?: 7x+14y-21z-7=0 R3: 4x+8y-11z +5=0 a) Determine the normal
3. Complete the following questions using the following planes T?: 2x + 4y-6z -2 = 0 T?: 7x+14y-21z-7=0 R3: 4x+8y-11z +5=0 a) Determine the normal vectors for each of the three planes [1K] b) Are any of the planes parallel? Show your work (If yes, determine the scalar multiple. If no, show that they are not multiples) [27] c) Are the normals for the three planes coplanar? [2A]
3. Complete the following questions using the following planes T?: 2x + 4y-6z -2 = 0 T?: 7x+14y-21z-7=0 R3: 4x+8y-11z +5=0 a) Determine the normal vectors for each of the three planes [1K] b) Are any of the planes parallel? Show your work (If yes, determine the scalar multiple. If no, show that they are not multiples) [27] c) Are the normals for the three planes coplanar? [2A]
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