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Worksheet: Cartesian Equation of a Straight Line in Space

Q1:

Find the direction vector of the straight line .

  • A
  • B
  • C
  • D
  • E

Q2:

Find the direction vector of the straight line .

  • A
  • B
  • C
  • D
  • E

Q3:

Find the direction vector of the straight line .

  • A
  • B
  • C
  • D
  • E

Q4:

Find the direction vector of the straight line .

  • A
  • B
  • C
  • D
  • E

Q5:

Which of the following is a Cartesian equation for a straight line that passes through the point with direction vector ?

  • A
  • B
  • C
  • D

Q6:

Which of the following is a Cartesian equation for a straight line that passes through the point with direction vector ?

  • A
  • B
  • C
  • D

Q7:

Which of the following is a Cartesian equation for a straight line that passes through the point with direction vector ?

  • A
  • B
  • C
  • D

Q8:

Find the Cartesian form of the equation of the straight line passing through the points ( 7 , 3 , 7 ) and ( 3 , 1 0 , 4 ) .

  • A 𝑥 + 7 3 = 𝑦 + 3 7 = 𝑧 + 7 4
  • B 𝑥 4 7 = 𝑦 + 7 3 = 𝑧 3 7
  • C 𝑥 7 4 = 𝑦 3 7 = 𝑧 7 3
  • D 𝑥 + 7 4 = 𝑦 + 3 7 = 𝑧 + 7 3

Q9:

The straight line that passes through the point is perpendicular to the vector . Find the Cartesian equation of the line.

  • A
  • B
  • C
  • D