Find the shortest distance between the l...

Find the shortest distance between the lines: ` vec r=6 hat i+2 hat j+2 hat k+lambda\ ( hat i-2 hat j+2 hat k)` and ` vec r=-4 hat i- hat k+mu\ (3 hat i-\ 2 hat j-\ 2 hat k)`

Text Solution

AI Generated Solution

Topper's Solved these Questions

CUET MOCK TEST 2022
XII BOARDS PREVIOUS YEAR|Exercise Question|49 Videos

Similar Questions

Explore conceptually related problems

Find the shortest distance between the lines vec r=(hat i+2hat j+hat k)+lambda(hat i-hat j+hat k) and ,vec r,=2hat i-hat j-hat k+mu(2hat i+hat j+2hat k)

Find the shortest distance between the lines vec r=(hat i+2hat j+hat k)+lambda(hat i-hat j+hat k) and vec r=(2hat i-hat j-hat k)+mu(2hat i+hat j+2hat k)

Find the shortest distance between lines vec r=(hat i+2hat j+hat k)+lambda(2hat i+hat j+2hat k) and vec r=2hat i-hat j-hat k+mu(2hat i+hat j+2hat k)

Find the shortest distance between the straight lines vec r=(3hat i+hat j+2hat k)+lambda(hat i+2hat j-hat k) and vec r=(2hat i-3hat j+hat k)+mu(2hat i-hat j+3hat k)

Find the shortest distance between the lines vec r=(4hat i-hat j)+lambda(hat i+2hat j-3hat k) and vec r=(hat i-hat j+2hat k)+mu(2hat i+4hat j-5hat k)

Shortest distance between the lines: vec r=(4hat i-hat j)+lambda(hat i+2hat j-3hat k) and vec r=(hat i-hat j+2hat k)+u(2hat i+4hat j-5hat k)

The shortest distance between the line L_1=(hat i - hat j hat k) lambda (2 hat i - 14 hat j 5 hat k) and L_2=(hat j hat k) mu (-2 hat i - 4 hat 7 hat) then L_1 and L_2 is

Find the angle between the line vec r=hat i+2hat j-hat k+lambda(hat i-hat j+hat k) and the plane vec r*(2hat i-hat j+hat k)=4

Find the shortest distance between the lines: vec(r) = hat(i) + 2 hat(j) - 3 hat(k) + lambda (3 hat(i) - 4 hat(j) - hat(k)) and vec(r) = 2 hat(i) - hat(j) + hat(k) + mu (hat(i) + hat(j) + 5 hat(k)) .

Find the angle between the lines vec r*(hat i+2hat j-hat k)+lambda(hat i-hat j+hat k) and the plane vec r*(2hat i-hat j+hat k)=4

XII BOARDS PREVIOUS YEAR-BOARD PAPER SOLUTIONS-All Questions

The lengths of the sides of an isosceles triangle are 9+x^2,9+x^2 and ...
Text Solution
|
If vectors vec a=2 hat i+2 hat j+3 hat k ,\ vec b=- hat i+2 hat j+ h...
Text Solution
|
Find the shortest distance between the lines: vec r=6 hat i+2 hat j+2...
Text Solution
|
Find the coordinates of the point where the line through (3, –4, –5...
Text Solution
|
Show that the function f(x)=|x-3|,\ x in \ |R , is continuous but n...
Text Solution
|
If A=[[2,-3,5],[3,2,-4],[1,1,-2]], find A^(-1). Using A^(-1) solve the...
Text Solution
|
Find the shortest distance between the following pair of lines and ...
Text Solution
|
Let vec a= hat i-\ hat j ,\ vec b=3 hat j-\ hat k and vec c=7 hat...
Text Solution
|
A factory makes two types of items A and B, made of plywood. ...
Text Solution
|
An experiment succeeds twice as often as it fails. Find the probabi...
Text Solution
|
Assume that the chances of a patient having a heart attack is 40%. ...
Text Solution
|
If x=asint\ and y=a(cost+logtant/2) , find (d^2\ y)/(dx^2)
Text Solution
|
A manufacturer produces nuts and bolts. It takes 1 hour of work on ...
Text Solution
|
Of the students in a college, it is known that 60% reside in hostel...
Text Solution
|
Using the method of integration, find the area of the region bounde...
Text Solution
|
Using properties of determinants, prove that |(b+c,q+r,y+z),(c+a,r+p,z...
Text Solution
|
Find the equation of the plane determined by the points A(3, –1, 2)...
Text Solution
|
Let A=R-{3} and B=R-[1]dot Consider the function f: AvecB defined by f...
Text Solution
|
Show that the height of a closed right circular cylinder of given s...
Text Solution
|
If [(9,-1,4),(-2,1,3)]=A+[(1,2,-1),(0,4,9)], then find the matrix A.
Text Solution
|