text: # Find the distance of the point (3,4,5) from the plane x+y+z=2 measured parallel to the line 2x=y=z.
  
  Yash Jain
  55 Points
  9 years ago
  The answer is 6 units. I’ll give you hints.
  Dr’s of the line is ] = 6units2+(5-1)2+(4-0)2Therefore, PN = sqrt[(3-1)
  So N = (1,0,1)
  Satisfying this point on the plane gives u=-4
  General point on this line is..(u/2 +3, u+4, u+5) say N
  Eq. of the line passing through given point P(3,4,5) with these Dr’s (x-3)/1/2 = (y-4)/1 = (z-5)/1
  
  Yash Jain
  55 Points
  9 years ago
  The answer is 6 units. I’ll give you hints.
  Dr’s of the line is Therefore, PN = sqrt[(3-1)
  So N = (1,0,1)
  Satisfying this point on the plane gives u=-4
  General point on this line is..(u/2 +3, u+4, u+5) say N
  Eq. of the line passing through given point P(3,4,5) with these Dr’s (x-3)/1/2=(y-4)/1=(z-5)/1
  2+(5-1)2+(4-0)2] = 6units
explanation: The document contains a math question and an answer to the question. The question asks for the distance of the point (3,4,5) from the plane x+y+z=2, measured parallel to the line 2x=y=z. The answer provided is 6 units, along with a detailed explanation of the steps to solve the problem.
distilabel_metadata.content: Evaluate the user given text extract and determine if it contains a math question and optionally and answer to this question.
  
  Output rules:
  
  1. Briefly describe the document and mention if it contains a question or a question and answer.
  2. Finalize the output with: Label: no-question,question,question-and-answer,multiple-question,multiple-question-and-answer
distilabel_metadata.role: system
distilabel_metadata.content: # Find the distance of the point (3,4,5) from the plane x+y+z=2 measured parallel to the line 2x=y=z.
  
  Yash Jain
  55 Points
  9 years ago
  The answer is 6 units. I’ll give you hints.
  Dr’s of the line is ] = 6units2+(5-1)2+(4-0)2Therefore, PN = sqrt[(3-1)
  So N = (1,0,1)
  Satisfying this point on the plane gives u=-4
  General point on this line is..(u/2 +3, u+4, u+5) say N
  Eq. of the line passing through given point P(3,4,5) with these Dr’s (x-3)/1/2 = (y-4)/1 = (z-5)/1
  
  Yash Jain
  55 Points
  9 years ago
  The answer is 6 units. I’ll give you hints.
  Dr’s of the line is Therefore, PN = sqrt[(3-1)
  So N = (1,0,1)
  Satisfying this point on the plane gives u=-4
  General point on this line is..(u/2 +3, u+4, u+5) say N
  Eq. of the line passing through given point P(3,4,5) with these Dr’s (x-3)/1/2=(y-4)/1=(z-5)/1
  2+(5-1)2+(4-0)2] = 6units
distilabel_metadata.role: user
distilabel_metadata.raw_output_q_a_detector_0: The document contains a math question and an answer to the question. The question asks for the distance of the point (3,4,5) from the plane x+y+z=2, measured parallel to the line 2x=y=z. The answer provided is 6 units, along with a detailed explanation of the steps to solve the problem.
  
  Label: question-and-answer