Home
Class 12
MATHS
Find the shortest distance (S.D.) betwee...

Find the shortest distance (S.D.) between the lines :
`vec(r)=2hat(i)+3hat(j)+hat(k)+lamda(2hat(i)-hat(j)+3hat(k))" and "vec(r)=7hat(i)+5hat(j)+6hat(k)+mu(hat(i)+3hat(j)+5hat(k))`

Text Solution

Verified by Experts

The correct Answer is:
`(7)/(sqrt(6))` units
Promotional Banner

Topper's Solved these Questions

  • SAMPLE QUESTION PAPER - I

    ACCURATE PUBLICATION|Exercise Section - C|9 Videos

  • RELATION AND FUNCTIONS

    ACCURATE PUBLICATION|Exercise QUESTIONS CARRYING 1 MARK - TYPE-III|11 Videos

  • SAMPLE QUESTION PAPER - II (UNSOLVED)

    ACCURATE PUBLICATION|Exercise Section - D|6 Videos

Similar Questions

Explore conceptually related problems

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)+2hat(j)+3hat(k)+lamda(2hat(i)+3hat(j)+4hat(k)) and vec(r)=2hat(i)+4hat(j)+5hat(k)+mu(3hat(i)+4hat(j)+4hat(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)+2hat(j)-hat(k)+lamda(hat(i)+hat(j)-hat(k)) and vec(r)=hat(i)-hat(j)+2hat(k)+mu(-hat(i)+hat(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))

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 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)=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)-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 following lines vec(r)=hat(i)+hat(j)+lamda(hat(i)-hat(j)+hat(k)) and vec(r)=2hat(i)+hat(j)-hat(k)+mu(3hat(i)-4hat(j)+hat(k))