MyQuestionIcon

2

You visited us 2 times! Enjoying our articles? Unlock Full Access!

Conditions for a system of linear equations to have a unique solution

Find the shor...

Question

Find the shortest distance between the lines whose vector equations are

Open in App

Solution

The given lines are

It is known that the shortest distance between the lines, and , is given by,

For the given equations,

Substituting all the values in equation (3), we obtain

Therefore, the shortest distance between the lines isunits.

Suggest Corrections

thumbs-up

0

Similar questions

Find the shortest distance between the lines whose vector equtions are
$r = (1 - t)^i + (t - 2)^j + (2 - 2 t)^k a n d r = (s + 1)^i + (2 s - 1)^j - (2 s + 1)^k$

Q. Find the shortest distance between the lines whose vector equations are :

\to r = (1 - p)^i + (p - 2)^j + (3 - 2 p)^k

\to r = (q + 1)^i + (2 q - 1)^j - (2 q - 1)^k

Q. The shortest distance between the lines whose equations are

\to r = t (^i +^j +^k)

\to r =^k + s (^i +^2 j +^3 k)

Q. Find the shortest distance between the lines whose vector equations are

\to r = (^i + 2^j + 3^k) + λ (^i - 3^j + 2^k)

\to r = (4^i + 5^j + 6^k) + μ (2^i + 3^j +^k)

Find the shortest distance between the lines whose vector equations are

View More

Join BYJU'S Learning Program

similar_icon

Related Videos

lock

MATHEMATICS

Watch in App

explore_more_icon

Explore more

Conditions for a system of linear equations to have a unique solution

Standard XII Mathematics

Join BYJU'S Learning Program

CrossIcon