Find the equation of the line passing th...

Find the equation of the line passing through the point (2, -1, 3) and perpendicular to the lines : `vecr=(hati-hatj+hatk)+lambda(2hati+hatj-3hatk)` and `vecr=(hati+hatj-hatk)+mu(hati+hatj+hatk)`

Topper's Solved these Questions

Three Dimensional Geometry
MODERN PUBLICATION|Exercise EXERCISE|491 Videos
RELATIONS AND FUNCTIONS
MODERN PUBLICATION|Exercise EXAMPLE|13 Videos
UNIT TEST-4
MODERN PUBLICATION|Exercise EXERCISE|13 Videos

Similar Questions

Explore conceptually related problems

Find the equation of the line passing through the point (1,2,-3) and perpendicular to the lines : vecr=(2hati-hatj-hatk)+lambda(2hati-hatj-3hatk) and vecr=(3hati-hatj-2hatk)+mu(hati+hatj+hatk)

Find the equation of the line passing through the point (1,-2,3) and perpendicular to the lines : vecr=(hati-2hatj+hatk)+lambda(hati+hatj+hatk) and vecr=(hati-hatj+2hatk)+mu(3hati-2hatj-5hatk)

Find the equation in vector anf cartesian form of the line passing through the point : (2,-1,3) and perpendicular to the lines vecr= (hati+hatj-hatk)+lambda(2hati-2hatj+hatk) and vecr= (2hati-hatj-3hatk)+mu(hati+2hatj+2hatk) .

Find the vectoer and cartesian equations of the line through the point (1,2,-4) and perpendicualr of the lines: vecr=(8hati-19hatj+10hatk)+lambda(3hati-16hatj+7hatk) and vecr=(15hati+29hatj+5hatk)+mu(3hati+8hatj-5hatk)

Find the vector and Cartesian form of the equation of the plane passing through the point (1, 2, -4) and parallel to the lines vecr=hati+2hatj-4hatk+lamda(2hati+3hatj+6hatk) and vecr=hati-3hatj+5hatk+mu(hati+hatj-hatk) .

Find the vector equation of the line passing through (1, 2, 3) and parallel to the planes vecr.(hati-hatj+2hatk)=5 and vecr.(3hati+hatj+hatk)=6.

Show that the lines vecr=hati+hatj+hatk+lambda(hati-hatj+hatk) and vecr=4hatj+2hatk+mu(2hati-hatj+3hatk) are coplanar.

Find the angle between the lines vecr=2hati+3hatj-4hatk+lambda(2hati+1hatj+2hatk) and vecr=2hati-5hatk+mu(6hati+3hatj+2hatk)

Find the shortest distance between the lines vecr = (hati + 2hatj+hatk) + lambda(hati-hatj+hatk) and vecr = 2hati - hatj-hatk + mu(2hati+hatj+2hatk)

Show that the lines: vecr=(hati+hatj)+lambda(2hati-hatk) and vecr=(2hati-hatj)+mu(hati+hatk-hatk) do not intersect.

MODERN PUBLICATION-Three Dimensional Geometry-EXERCISE

Write the direction cosine of a line parallel to the line : (3-x)/3=(y...
Text Solution
|
Find the vector and the Cartesian equations of the line through the po...
Text Solution
|
Find the equation of the line passing through the point (2, -1, 3) and...
Text Solution
|
Find the equation of the line in vector and in cartesian form that pas...
Text Solution
|
Find the vector equation for the line through the points : (1,2,2) and...
Text Solution
|
Find the vector and the cartesian equations of the lines that passes t...
Text Solution
|
Find the vector and cartesian equations of the line that passes throug...
Text Solution
|
Find the equation of a st line through (-1,2,3) and equally inclined t...
Text Solution
|
Find the equation of a line parallel to x-axis and passing through the...
Text Solution
|
Find the angle between the pairs of lines with direction ratios: <5,12...
Text Solution
|
Find the angle between the pairs of lines with direction ratios:<a,b,c...
Text Solution
|
The angle between a line with direction ratios proportional to 2, 2, ...
Text Solution
|
Find the angle between the following pairs of lines : vecr=3hati+2hatj...
Text Solution
|
Find the angle between the following pair of lines: vecr = 3hati+hatj-...
Text Solution
|
Find the angle between the following pairs of lines : (x-2)/2=(y-1)/5=...
Text Solution
|
Find the angle between the following pairs of lines : (5-x)/3=(y+3)/-4...
Text Solution
|
Find the angle between the following lines (x+1)/(1)=(y-4)/(1)=(z-5)...
Text Solution
|
Find the angle between the pair of lines (x+3)/3 = (y-1)/5 = (z+3)/4an...
Text Solution
|
Show that the lines (x-5)/7 = (y+2)/-5 = z/1 and x/1 = y/2 = z/3 are p...
Text Solution
|
Show that the lines : (x-3)/2=(y+1)/-3=(z-2)/4 and (x+2)/2=(y-4)/4=(z+...
Text Solution
|