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Worksheet: Normal Vector

In this worksheet, we will practice finding the normal vector to a given plane.

Q1:

Find a normal vector to the plane 6 π‘₯ + 2 𝑦 βˆ’ 7 𝑧 βˆ’ 2 7 = 0 .

  • A n = ⟨ 2 , βˆ’ 7 , 2 7 ⟩
  • B n = ⟨ βˆ’ 6 , βˆ’ 2 , 7 ⟩
  • C n = ⟨ βˆ’ 6 , βˆ’ 2 , βˆ’ 2 7 ⟩
  • D n = ⟨ 6 , 2 , βˆ’ 7 ⟩

Q2:

Find a normal vector to the plane 9 π‘₯ + 8 𝑦 + 6 𝑧 + 2 8 = 0 .

  • A n = ⟨ 8 , 6 , βˆ’ 2 8 ⟩
  • B n = ⟨ βˆ’ 9 , βˆ’ 8 , βˆ’ 6 ⟩
  • C n = ⟨ βˆ’ 9 , βˆ’ 8 , 2 8 ⟩
  • D n = ⟨ 9 , 8 , 6 ⟩

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