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The volume of a tetrahedron (in cubic un...

The volume of a tetrahedron (in cubic units) whose vertices are `4overset(^)i+5overset(^)j+overset(^)k, -overset(^)j+overset(^)k,3overset(^)i+9overset(^)j+4overset(^)k and -2overset(^)i+4overset(^)j+4overset(^)k` is

A

`14/3`

B

5

C

6

D

30

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The correct Answer is:
B
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TARGET PUBLICATION-VECTORS-Competitive Thinking
  1. If bara=(1)/(sqrt10)(3overset(^)i+overset(^)k),barb=1/7(2overset(^)i+3...

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  2. If barp=(barbxxbarc)/(bara" "barb" "barc),barq=(barcxxbara)/(bara" "ba...

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  3. If vecu, vecv, vecw are three non-coplanar vectors, the (vecu+vecv-vec...

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  4. If bara,barb,barc are three non-coplanar vectors and barp,barq,barr ar...

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  5. If a, b and c are non-coplanar vectors and d=lambdaa+mub+nuc, then lam...

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  6. If vecu, vecv, vecw are non -coplanar vectors and p,q, are real numbe...

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  7. If bara,barb,barc are non-coplanar vectors and lambda is a real number...

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  8. If the vectors 2overset(^)i-3overset(^)j,overset(^)i+overset(^)j-overs...

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  9. The volumes of the parallelopiped whose edges are represented by bara=...

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  10. If the volume of the tetrahedron formed by the coterminus edges bara,b...

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  11. The volume of a parallelopiped whose edges are represented by -12bar ...

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  12. If the three co-terminous edges of a paralleloP1ped are represented by...

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