Home
Class 12
MATHS
Find the cartesian and vector equation o...

Find the cartesian and vector equation of a line which passes through the point (1, 2, 3) and parallel to the line `(-x-2)/1=(y+3)/7=(2z-6)/3`

Text Solution

Verified by Experts

The correct Answer is:
`(x-1)/(-2)=(y-2)/14=(z-3)/3`
`vecr=(hati+2hatj+3hatk)+lambda(-2hati+14hatj+3hatk)`
Promotional Banner

Topper's Solved these Questions

  • THREE DIMENSIONAL GEOMETRY

    NEW JOYTHI PUBLICATION|Exercise Objective|36 Videos
  • THREE DIMENSIONAL GEOMETRY

    NEW JOYTHI PUBLICATION|Exercise Ncert Miscellaneous Exercise|21 Videos
  • STRAIGHT LINES

    NEW JOYTHI PUBLICATION|Exercise QUESTIONS FROM COMPETITIVE EXAMS|122 Videos
  • TRIGONOMETRIC FUNCTIONS

    NEW JOYTHI PUBLICATION|Exercise QUESTIONS FROM COMPETITIVE EXAMS|134 Videos

Similar Questions

Explore conceptually related problems

Find the cartesian equation of the line which passes through the point (-2,4,-5) and parallel to the line given by (x+3)/3 =(y-4)/5=(z+8)/6 .

Find the cartesian equation of the line which passes through the point (-2,4,-5) and parallel to the line given by (x+3)/3 =(y-4)/5=(z+8)/6 .

Write the equation of the line passing through the point (1,-1) and parallel to the line x+3y -4=0

Find the equation of the line which passes through the point (1,2,3) and is parallel to the vector 3hati+2hatj-2hatk .

Find the Cartesian equation of a line passing through the points A(2,-1,3)andB(4,2,1)

Find the equation of the plane through the points (1,0,-1),(3,2,2) and parallel to the line (x-1)/1=(y-1)/(-2)=(z-2)/3 .

Find the vector equation of the line passing through the point (2,-1,-1) which is parallel to the line 6x-2=3y+1=2z-2.

Find the vector and cartesian equation of the plane passing through the point (1, 3, 2) and parallel to the lines * (x+1)/(2)=(y+2)/(-1)=(z+3)/(3) and (x-2)/(1)=(y+1)/(2)=(z+2)/(2) .

Find the equation of the plane passing through the points (1,0,-1)a n d(3,2,2) and parallel to the line x-1=(1-y)/2=(z-2)/3dot