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If vecr.veca=vecr.vecb=vecr.vecc=0 " whe...

If `vecr.veca=vecr.vecb=vecr.vecc=0 " where "veca,vecb and vecc` are non-coplanar, then

A

`vecrbot(veccxxveca)`

B

`vecrbot(vecaxxvecb)`

C

`vecrbot(vecbxxvecc)`

D

`vecr=vec0`

Text Solution

Verified by Experts

The correct Answer is:
d
Let `vecr ne vec0` then `vecr.veca = vecr.vecb = vecr.vecc =0`
Hence, `veca, vecb and vecc` are coplanar, which is a contradiction.
Therefore, `vecr =vec0`
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CENGAGE PUBLICATION-DIFFERENT PRODUCTS OF VECTORS AND THEIR GEOMETRICAL APPLICATIONS -Exercises MCQ
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  13. A vector of magnitude sqrt(2) coplanar with the vector vec a= hat i+ ...

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  16. Points vec a , vec b , vec c ,a n d vec d are coplanar and (s inalpha...

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  17. If vec aa n d vec b are any two vectors of magnitudes 1 and 2, resp...

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