Worksheet: Equations of Planes

In this worksheet, we will practice finding the equation of a plane containing two straight lines.

Q1:

Write, in normal form, the equation of the plane containing 𝑥 6 4 = 𝑦 + 3 = 𝑧 and 𝑥 1 1 3 = 𝑦 1 4 6 = 𝑧 + 9 2 .

  • A 6 𝑥 3 𝑦 + 𝑧 4 5 = 0
  • B 8 𝑥 5 𝑦 2 7 𝑧 6 3 = 0
  • C 8 𝑥 5 𝑦 2 7 𝑧 + 6 3 = 0
  • DThere is no plane containing these lines.
  • E 6 𝑥 3 𝑦 + 𝑧 + 4 5 = 0

Q2:

Find the general equation of the plane which passes through the point and is parallel to the two vectors and .

  • A
  • B
  • C
  • D
  • E

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