Find the vector and cartesian equation o...

Find the vector and cartesian equation of the line through the point (3, -4, -2) and parallel to the vector `9hati+6hatj+2hatk`.

Text Solution

Verified by Experts

The correct Answer is:

`vecr=(3hati-4hatj-2hatk)+t(9hati+6hatj+2hatk)`

Topper's Solved these Questions

APPLICATIONS OF VECTOR ALGEBRA
PREMIERS PUBLISHERS|Exercise PROBLEMS FOR PRACTICE (Choose the correct answer)|31 Videos
APPLICATIONS OF MATRICES AND DETERMINANTS
PREMIERS PUBLISHERS|Exercise PROBLEMS FOR PRACTICE (II. Answer the following)|15 Videos
COMPLEX NUMBERS
PREMIERS PUBLISHERS|Exercise Problem for practice|45 Videos

Similar Questions

Explore conceptually related problems

Find the vector and cartesian equations of the line through the point (5,2,-4) and which is parallel to the vector 3hati+2hatj-8hatk .

Find the vector equation and cartesian equation of the line through the point (1, 2, -2) and in parallel to (3hati-4hatj+5hatk) .

Find the vector and cartesian equations of the plane that passes through the point (1,0,-2) and normal to hati+hatj-hatk .

Find the non parametric form of vector equation and the cartesian equation of the plane passing through the point (-1, 2, -3) and parallel to the lines vecr=(2hati-hatj+3hatk)+t(hati+hatj-2hatk) and vecr=(hati-hatj+3hatk)+s(3hati-hatj-2hatk)

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

The vector equation of the plane through the point (2,1,-1) and parallel to the plane vecr.(hati+3hatj-hatk)=0 is

Find the vector and cartesian equations of the planes a. that passes through the point (1,0,-2) and normal to the planes is hati+hatj-hatk b. that passes through the point (1,4,6) and the normal vector to the plane is hati-2hatj+hatk .

Find the vector cartesian equation of the plane passing through the points (1, -2, 3) and (-1, 2, -1) and is parallel to the line vecr=(2hati-hatj+hatk)+t(2hati+3hatj+4hatk)

PREMIERS PUBLISHERS-APPLICATIONS OF VECTOR ALGEBRA-PROBLEMS FOR PRACTICE (Answer the following questions)

Prove that the sum of the squares of the squares of tha diagonals of a...
Text Solution
|
Show that (veca xx vecb) *(vecc xx vecd) +(vecb xx vecc) *(veca xx vec...
Text Solution
|
Find the vector and cartesian equation of the line through the point (...
Text Solution
|
Find the vector and cartesian equation of the line joining the points ...
Text Solution
|
Find the angle between the lines (x-1)/(2)=(y+1)/(3)=(z-4)/(6) and vec...
Text Solution
|
Find the distance between the parallel lines vecr=(hati-hatj)+t(2hati-...
Text Solution
|
Show that the lines vecr=(hati-hatj)+t(2hati+hatk) and vecr=(2hati-hat...
Text Solution
|
Find the vector and cartesian equation of a plane which is at a distan...
Text Solution
|
Find the vector and cartesian equation of the plane passing through (2...
Text Solution
|
Find the vector and cartesian equation of the plane passing through (2...
Text Solution
|
Find the Vector and Cartesian equation of the plane containing the lin...
Text Solution
|
Find the vector cartesian equation of the plane passing through the po...
Text Solution
|
Find the vector and certesian equation of the plane through the points...
Text Solution
|
Find the equation of the plane passing through the points (3, 4, 2), (...
Text Solution
|
Find the equation of the plane passingthrough the intersection of the...
Text Solution
|
Find the distance between the parallel planes vecr*(-hati-hatj+hatk)=3...
Text Solution
|
Find the coordinates of the point where the line vecr=(hati+2hatj-5ha...
Text Solution
|
The value of [hati+hatj,hatj+hatk,hatk+hati] is equal to :
Text Solution
|
If abs(veca+vecb)=abs(veca-vecb) prove that veca and vecb are perpendi...
Text Solution
|
Find the shortest distance between the lines (x-3)/(3)=(y-8)/(-1)=(z-3...
Text Solution
|