Home
Class 12
MATHS
If the vector equation of a line is ba...

If the vector equation of a line is
`barr=i+j+k+mu(2i-3j-4k)` , then the Cartesian equation of the line is

A

`(x+2)/2=(y+2)/4=(z+2)/1`

B

`(x-1)/2=(y-1)/-3=(z-1)/-4`

C

`(x+2)/1=(y+2)/4=(z+2)/1`

D

`(x-1)/2=(y-1)/1=(z-1)/-4`

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • THREE DIMENSIONAL GEOMETRY

    BODY BOOKS PUBLICATION|Exercise EXERCISE|5 Videos
  • RELATIONS AND FUNCTIONS

    BODY BOOKS PUBLICATION|Exercise EXERCISE|10 Videos
  • VECTOR ALGEBRA

    BODY BOOKS PUBLICATION|Exercise EXERCISE|1 Videos

Similar Questions

Explore conceptually related problems

Consider the line barr=(2i-j+k)+lambda(i+2j+3k) . Find the Cartesian equation of the line.

Consider the vector equation of two planes barr.(2i+j+k)=3,barr.(i-j-k)=4 Find vector equation of the plane through the intersection of the above planes and the point (1,2,-1).

If the Cartesian equation of a plane is x+y+z=12 , then the vector equation of the plane is.... a) barr.(2i+j+k)=12 b) barr.(i+j+k)=12 c) barr.(i+j+2k)=12 d) barr.(i+3j+k)=12

Consider the vector equation of two planes barr.(2i+j+k)=3,barr(i-j-k)=4 Find vector equation of any plane through the intersection of the above two planes.

Find the vector equation of the Plane Passing through the intersection of the planes barr.(i+j+k)=6 and barr.(2i+3j+4k)=-5 and through the point (1,1,1).

Express the vector equation barr.(5i+3j+4k)=0 of a Plane in Cartesian form and hence find its perpendicular distance from the origin.

Given the straight lines barr=3i+2j-4k+lambda(i+2j+2k) and barr=5i-2k+mu(3i+2j+6k) Form the equation of the line perpendicular to the given lines and passing through the point(1,1,1)

Consider the lines barr=(i+2j-2k)+lambda(i+2j) and barr=(i+2j-2k)+mu(2j-k) Find the equation of the line passing through the point of intersection of lines and perpendicular to both the lines.

Consider a plane passing through the point (5,2,-4) and perpendicular to the line barr=(i+j)+lambda(2i+3j-k) Write the equation in Cartesian form.

The position vector of the centroid of the Delta ABC is 2i + 4j + 2k . If the position vector of the vertex A is 2i + 6j + 4k, then the position vector of midpoint of BC is a)2i + 3j + k b)2i + 3j - k c)2i - 3j - k d) -2i - 3j - k