Home
Class 12
MATHS
A line passes through (1, -1, 3) and is ...

A line passes through `(1, -1, 3)` and is perpendicular to the lines `vecr=(hat(i)+hat(j)-hat(k))+lambda(2hat(i)-2hat(j)+hat(k))` and `vecr=(2hat(i)-hat(j)-3hat(k))+mu(hat(i)+2hat(j)+2hat(k)).` Obtain its equation.

Text Solution

Verified by Experts

The correct Answer is:
`r=(hat(i)-hat(j)+3hat(k))+mu(2hat(i)+hat(j)-2hat(k))`
Promotional Banner

Topper's Solved these Questions

  • THREE DIMENSIONAL COORDINATE SYSTEM

    ARIHANT MATHS|Exercise Three Dimensional Coordinate System Exercise 11 : Subjective Type Questions|1 Videos
  • THREE DIMENSIONAL COORDINATE SYSTEM

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|44 Videos
  • THREE DIMENSIONAL COORDINATE SYSTEM

    ARIHANT MATHS|Exercise Exercise (Single Integer Answer Type Questions)|26 Videos
  • THEORY OF EQUATIONS

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|35 Videos
  • TRIGONOMETRIC EQUATIONS AND INEQUATIONS

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|12 Videos

Similar Questions

Explore conceptually related problems

Find the equation of the straight line passing through the point (2,-1,3) and perpendicular to the lines vec(r)=(hat(i)+hat(j)-hat(k))+lamda(2hat(i)+hat(j)-3hat(k)) and vec(r)=(hat(i)-hat(j)-hat(k))+mu(hat(i)+hat(j)+hat(k)) .

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

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

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

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

Find the shortest distance between the line vec(r)=hat(i)-7hat(j)-2hat(k)+lamda(hat(i)+3hat(j)+2hat(k)) and vec(r)=3hat(i)+4hat(j)-2hat(k)+mu(-hat(i)+2hat(j)+hat(k)) .

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

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