Home
Class 12
MATHS
Show that the lines vecr=(2hatj-3hatk)...

Show that the lines
`vecr=(2hatj-3hatk)+lambda(hati+2hatj+3hatk)` and
`vecr = (2hati+6hatj+3hatk)+mu(2hati+3hatj+4hatk)`
are coplanar. Also the find the equation of the plane passing through these lines.

Text Solution

Verified by Experts

The correct Answer is:
`vecr.(hati-2hatj+hatk)+7=0`
Promotional Banner

Topper's Solved these Questions

  • THREE-DIMENSIONAL GEOMETRY

    NAGEEN PRAKASHAN ENGLISH|Exercise Exercise 11 G|10 Videos

  • THREE-DIMENSIONAL GEOMETRY

    NAGEEN PRAKASHAN ENGLISH|Exercise Exercise 11 H|10 Videos

  • THREE-DIMENSIONAL GEOMETRY

    NAGEEN PRAKASHAN ENGLISH|Exercise Exercise 11 E|26 Videos

  • RELATIONS AND FUNCTIONS

    NAGEEN PRAKASHAN ENGLISH|Exercise Miscellaneous Exercise|19 Videos

  • VECTORS

    NAGEEN PRAKASHAN ENGLISH|Exercise Miscellaneous Exercise|19 Videos

Similar Questions

Explore conceptually related problems

Show that the line vecr = (hati+hatj-hatk)+lambda(3hati-hatj) vecr = (4hati-hatk)+mu(2hati+3hatk) are coplanar. Also find the equation of plane in which these lines lie.

Shortest distance between the lines: vecr=(4hati-hatj)+lambda(hati+2hatj-3hatk) and vecr=(hati-hatj+2hatk)+u(2hati+4hatj-5hatk)

If vecr=(hati+2hatj+3hatk)+lamda(hati-hatj+hatk) and vecr=(hati+2hatj+3hatk)+mu(hati+hatj-hatk) are two lines, then find the equation of acute angle bisector of two lines.

The lines vecr=(2hati-3hatj+7hatk)+lamda(2hati+phatj+5hatk) and vecr=(hati+2hatj+3hatk)+mu(3hati+phatj+phatk) are perpendicular it p=

If vecr=(hati+2hatj+3hatk)+lambda(hati-hatj+hatk) and vecr=(hati+2hatj+3hatk)+mu(hati+hatj-hatk) are two lines, then the equation of acute angle bisector of two lines is

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

Find the angle between the lines vecr = (hati+hatj)+lambda (hati+hatj+hatk)and vecr=(2hati-hatj)+t(2hati+3hatj+hatk)

Find the angle between the line: vecr=4hati-hatj+lamda(hati+2hatj-2hatk) and vevr=hati-hatj+2hatk-mu(2hati+4hatj-4hatk)

Find the shortest distance vecr=hati+2hatj+3hatk+lambda(hati-3hatj+2hatk)and vecr= 4hati+5hatj+6hatk+mu(2hati+3hatj+hatk) .

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