Find the vector equation of a line passe...

Find the vector equation of a line passes through the point `hati+3hatj+hatk` and parallel to vector `3hati-2hatj+k`.

Text Solution

Verified by Experts

The correct Answer is:

`vecr=(hati+3hatj+hatk)+lambda(3hati-2hatj+hatk)`

Topper's Solved these Questions

THREE-DIMENSIONAL GEOMETRY
NAGEEN PRAKASHAN|Exercise Exercise 11 C|7 Videos
THREE-DIMENSIONAL GEOMETRY
NAGEEN PRAKASHAN|Exercise Exercise 11 D|35 Videos
THREE-DIMENSIONAL GEOMETRY
NAGEEN PRAKASHAN|Exercise Exercise 11 A|22 Videos
RELATIONS AND FUNCTIONS
NAGEEN PRAKASHAN|Exercise Miscellaneous Exercise|19 Videos
VECTORS
NAGEEN PRAKASHAN|Exercise Miscellaneous Exercise|19 Videos

Similar Questions

Explore conceptually related problems

Find the vector equation of the plane passing through the point (3hati+4hatj+2hatk) and parallel to the vectors (hati+2hatj+3hatk) and (hati-hatj+hatk) .

The vector equation of a line passing through the point hati + 2hatj + 3hatk and perpendicular to the vectors hati +hatj + hatk and 2hati - hatj + hatk is

Find the equation of the line passing through point 2hati-hatj+3hatk and parallel to vector hati+hatj-2hatk in vector form as well as Cartesian form.

Find the vector equation of a line through the point (-3, 2, -4) and is parallel to the vector 3hati + 2hatj+ 4hatk .

Find the equation of a line passing through the point (2,-3,5) and parallel to vector (3hati+2hatj-hatk) .

Find the vector equation of the line passing through the point 2 hati + hatj - 3 hatk and perpendicular to the vectors hati + hatj + hatk and hati + 2 hatj - hatk .

Find the vector equation of the plane passing through the point hati + hatj -2hatk and hati + 2hatj + hatk, 2hati - hatj + hatk.

The equation of a line passing through the point (4,-2,5) and parallel to the vector 3hati -hatj + 2hatk is

Find the vector equation of a line passing thorugh a point with position vector 2hati-2hatj+hatk and parallel to the line joining the point with the position vectors -hati+3hatj+hatk . Also find the Cartesian equation of this line.

The position vector of a point at a distance of 3sqrt(11) units from hati-hatj+2hatk on a line passing through the points hati-hatj+2hatk and parallel to the vector 3hati+hatj+hatk is

NAGEEN PRAKASHAN-THREE-DIMENSIONAL GEOMETRY -Exercise 11 B

Find the vector equation of a lin e passes through the point whose pos...
Text Solution
|
Find the vector equation of a line passes through the point hati+3hatj...
Text Solution
|
Find the equation of a line passes through the point (2,3,4) and whos...
Text Solution
|
Find the equation of a line parallel to the line (x-5)/(3) = (y+1)/(...
Text Solution
|
The cartesian equation of a line is (x+2)/(1) = (y+3)/(-2) = (z)/(3), ...
Text Solution
|
Find the vector equation of the line through A(3,4,-7)a n dB(1,-1,6)do...
Text Solution
|
Find the equation of a line passes through the points whose position...
Text Solution
|
Prove that the points A(2,0,-3), B (1,-2,-5) and C(3,2,-1) are colline...
Text Solution
|
Prove that the points A(9,-1,4),B(-1,-3,2) and C(4,-2,3) are collinear...
Text Solution
|
Prove that the point A(1,2,3), B(-2,3,5) and C(7,0,-1) are collinear.
Text Solution
|
Find the values of lambda ad mu if the points A(-1,4,-2),B(lambda,mu,1...
Text Solution
|
Find the equation of a line passes through the point hati+hatj+5hatk a...
Text Solution
|
The cartesian equation of a line is 6x+1=3y-2 = 3-2x. Find its directi...
Text Solution
|
Find the angle between the following pairs of lines (i) veci=3hati+2...
Text Solution
|
(i) Show that the line (x+3)/(2) = (y+1)/(-1) = (z+3)/(3) and (x)/(5) ...
Text Solution
|
Find the values of lambda if the following of lines perpendicular : ...
Text Solution
|
Show that the following pairs of lines intersect. Also find their poin...
Text Solution
|
Show that the lines (x-1)/(1) = (y-2)/(-1) = (z-1)/(1) and (x-1)/(1-...
Text Solution
|
Show that the lines vecr= hati+hatj-hatk+lambda(3hati-hatj) and vecr =...
Text Solution
|
Find the co-ordinates of that point at which the lines joining the poi...
Text Solution
|