Home
Class 12
MATHS
Show that the vectors 2hati-3hatj+4hatk ...

Show that the vectors `2hati-3hatj+4hatk` and `-4hati+6hatj-8hatk` are collinear.

Text Solution

Verified by Experts

Let `a=2hati-3hatj+4hatk and b=-4hati+6hatj-8hatk`
Considerr, `b=-4hati+6hatj-8hatk=-2(2hati-3hatj+4hatk)=-2a`
`therefore` The vectors a and b are collinear.
Promotional Banner

Topper's Solved these Questions

  • VECTOR ALGEBRA

    ARIHANT MATHS|Exercise Exercise For Session 1|7 Videos

  • VECTOR ALGEBRA

    ARIHANT MATHS|Exercise Exercise For Session 2|17 Videos

  • TRIGONOMETRIC FUNCTIONS AND IDENTITIES

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|18 Videos

Similar Questions

Explore conceptually related problems

For what value of 'a' the vectors 2hati-3hatj+4hatk and ahati+6hatj-8hatk are collinear?

Find a if the vectors vecx=2hati-3hatj+4hatk and vecy=ahati+6hatj-8hatk are collinear?

Show that the vectors hati-hatj-hatk,2hati+3hatj+hatk and 7hati+3hatj-4hatk are coplanar.

Show that the vectors hati-3hatj+2hatk,2hati-4hatj-hatk and 3hati+2hatj-hatk and linearly independent.

Show that the three points with position vectors hati+2hatj+7hatk , 2hati+6hatj+3hatk and 3hati+10hatj-hatk are collinear.

Show that the vectors : 2hati-hatj+hatk,hati-3hatj-5hatk and 3hati-4hatj-4hatk form the vertices of a right angled triangle.

Show that the three points with position vectors -2hati+3hatj+5hatk , hati+2hatj+3hatk and 7hati-hatk are collinear.

Show that the three points with position vectors 2hati+6hatj+3hatk , hati+2hatj+7hatk and 3hati+10hatj-hatk are collinear.