Worksheet: Normal Vector

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

Q1:

Find a normal vector to the plane 6 𝑥 + 2 𝑦 − 7 𝑧 − 2 7 = 0 .

  • A ⃑ 𝑛 = ( 2 , − 7 , 2 7 )
  • B ⃑ 𝑛 = ( − 6 , − 2 , 7 )
  • C ⃑ 𝑛 = ( − 6 , − 2 , − 2 7 )
  • D ⃑ 𝑛 = ( 6 , 2 , − 7 )

Q2:

Find a normal vector to the plane 9 𝑥 + 8 𝑦 + 6 𝑧 + 2 8 = 0 .

  • A ⃑ 𝑛 = ( 8 , 6 , − 2 8 )
  • B ⃑ 𝑛 = ( − 9 , − 8 , − 6 )
  • C ⃑ 𝑛 = ( − 9 , − 8 , 2 8 )
  • D ⃑ 𝑛 = ( 9 , 8 , 6 )

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