Home
Class 12
MATHS
For any three vectors vec(a), vec(b) and...

For any three vectors `vec(a), vec(b)` and `vec(c)`, show that `vec(a) - vec(b), vec(b) - vec(c) , vec(c) - vec(a)` are coplanar.

Text Solution

Verified by Experts

The correct Answer is:
0
Promotional Banner

Topper's Solved these Questions

  • VECTOR ALGEBRA

    ARIHANT PUBLICATION|Exercise Questions for Practice (Part IV Vector (or Cross) Product of Two Vectors) Long Answer Type Questions|6 Videos

  • VECTOR ALGEBRA

    ARIHANT PUBLICATION|Exercise Odisha Bureau.s Textbook Solutions (Exericise 12(a))|46 Videos

  • VECTOR ALGEBRA

    ARIHANT PUBLICATION|Exercise Questions for Practice (Part IV Vector (or Cross) Product of Two Vectors) Very Short Answer Type Questions|5 Videos

  • THREE-DIMENSIONAL GEOMETRY

    ARIHANT PUBLICATION|Exercise Chapter Practice|34 Videos

Similar Questions

Explore conceptually related problems

For any three vectors vec(a), vec(b) and vec(c) , prove that vec(a) xx (vec(b) - vec(c)) = (vec(a) xx vec(b)) - (vec(a) xx vec(c)) .

Simplify [vec(a)-vec(b)vec(b)-vec(c)vec(c)-vec(a)] .

Prove that for any three vectors vec(a), vec(b) and vec(c), [vec(a) + vec(b) vec(b) + vec(c) vec(c) + vec(a)] = 2 [vec(a)vec(b)vec(c)]

For any three vectors vec(a), vec(b) and vec(c) , evaluate vec(a) xx (vec(b) + vec(c)) + vec(b) xx (vec(c) + vec(a)) + vec(c) xx (vec(a) + vec(b)) .

If vec(a), vec(b) and vec(c) are three vectors such that vec(a) + vec(b) + vec(c) = vec(0) , then prove that vec(a) xx vec(b) = vec(b) xx vec(c) = vec(c) xx vec(a) .

Show that (vec(a)-vec(b))xx(vec(a)+vec(b))=2(vec(a)xxvec(b)) .

Prove that |vec(a)-vec(b)|ge|vec(a)|-|vec(b)| .

Prove that the four points with position vectors 2vec(a) + 3vec(b) - vec(c), vec(a) - 2vec(b) + 3vec(c) " , "3vec(a) + 4vec(b) - 2vec(c) and vec(a) - 6vec(b) + 6vec(c) are coplanar.