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.

Promotional Banner

Topper's Solved these Questions

  • THE PLANE

    RS AGGARWAL|Exercise Exercise 28J|26 Videos

  • THE PLANE

    RS AGGARWAL|Exercise Objective Questions|35 Videos

  • THE PLANE

    RS AGGARWAL|Exercise Exercise 28G|20 Videos

  • SYSTEM OF LINEAR EQUATIONS

    RS AGGARWAL|Exercise Objective Questions|53 Videos

  • VECTOR AND THEIR PROPERTIES

    RS AGGARWAL|Exercise Exercise 22|24 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.

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=

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

The shortest distance between the lines vecr=(hati-hatj)+lamda(hati+2hatj-3hatk) and vecr=(hati-hatj+2hatk)+mu(2hati+4hatj-5hatk) is

The angle between the lines vecr=(2hati-5hatj+hatk)+lamda(3hati+2hatj+6hatk)andvecr=(7hati-6hatk)+mu(hati+2hatj+2hatk) is