# 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
The text passage contains a mathematical question about finding the distance of a point from a plane, measured parallel to a given line. The answer to this question is provided as 6 units, along with a detailed solution.
single_question_with_answer
Given a text passage, determine:
    1. If it contains a mathematical question (including word problems or calculations)
    2. If an answer to that mathematical question is provided in the text

First, describe the content structure you found in 1-2 sentences.

Then provide your analysis in the following format:
TYPE: <one of the following values>
- NO_QUESTION
- SINGLE_QUESTION
- SINGLE_QUESTION_WITH_ANSWER
- MULTIPLE_QUESTIONS
- MULTIPLE_QUESTIONS_WITH_ANSWERS
system
# 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
user
The text passage contains a mathematical question about finding the distance of a point from a plane, measured parallel to a given line. The answer to this question is provided as 6 units, along with a detailed solution.

TYPE: SINGLE_QUESTION_WITH_ANSWER