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If the vectors veca, vecb, vecc and vecd...

If the vectors `veca, vecb, vecc` and `vecd` are coplanar vectors, then `(vecaxxvecb)xx(veccxxvecd)` is equal to

A

`veca+vecb+vecc+vecd`

B

`vec0`

C

`veca+vecb=vecc+vecd`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
B
Clearly `vecaxxvecb` is parallel to `veccxxvecd`
`:.(vecaxxvecb)xx(veccxxvecd)=vec0`
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OBJECTIVE RD SHARMA-SCALAR AND VECTOR PRODUCTS OF THREE VECTORS -Section I - Solved Mcqs
  1. If veca=hati+hatj+hatk, veca.vecb=1 and vecaxxvecb=hatj-hatk then vecb

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  2. If veca, vecb, vecc are non-coplanar non-zero vectors, then (vecaxxv...

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  3. If the vectors veca, vecb, vecc and vecd are coplanar vectors, then (...

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  4. (vecaxxvecb).(veccxxvecd) is not equal to

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  5. Let veca=2hati+hatj-2hatk and vecb=hati+hatj. If vecc is a vector such...

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  6. If veca, vecb, vecc are three non colanar, non =null vectors, and vecr...

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  7. The acute angle betwene any two faces of a regular tetrahedron is

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  8. The acute angle that the vector 2hati-2hatj+2hatk makes with the plane...

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  9. If veca, vecb, vecc are non-null non coplanar vectors, then [(veca-2...

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  10. The three vectors hati+hatj, hatj+hatk, hatk+hati taken two at a time ...

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  11. Let G(1),G(2),G(3) be the centroids of the triangular faces OBC, OCA, ...

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  12. Let vecr, veca, vecb and vecc be four non-zero vectors such that vecr....

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  13. Let vecV=2hati+hatj-hatk and vecW=hati+3hatk. It vecU is a unit vector...

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  14. If veca and vecb are two unit vectors, then the vector (veca+vecb)xx(v...

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  15. If vec(alpha)=2hati+3hatj-hatk, vec(beta)=-hati+2hatj-4hatk, vecgamma=...

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  16. Let vec(alpha)=ahati+bhatj+chatk, vec(beta)=bhati+chatj+ahatk and vec(...

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  17. Given |veca|=|vecb|=1 and |veca+vecb|=sqrt(3). If vecc be a vector suc...

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  18. If vecu and vecv be unit vectors. If vecw is a vector such that vecw+(...

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  19. If veca, vecb, vecc be three vectors of magnitude sqrt(3),1,2 such tha...

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  20. If the vectors veca and vecb are perpendicular to each other then a ve...

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