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If `overset(-)a, overset(-)b, overset(-)c` are three vectors such that `|overset(-)a|=1, |overset(-)b|=2, |overset(-)c|=3, and overset(-)a. overset(-)b. =overset(-)b. overset(-)c=overset(-)c. overset(-)a=0," then "|[overset(-)a overset(-)b overset(-)c]|=`

A

0

B

2

C

3

D

6

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The correct Answer is:
D
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SIA PUBLICATION-ADDITION OF VECTORS AND PRODUCT OF VECTORS-Problems
  1. If overset(-)a, overset(-)b, overset(-)c are unit vectos such that ove...

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  2. If overset(-)a=2overset(-)i+overset(-)k, overset(-)b=overset(-)i+overs...

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  3. If overset(-)a, overset(-)b, overset(-)c are three vectors such that |...

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  4. If [overset(-)a xx overset(-)b xx overset(-)c overset(-)c xx overset(-...

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  5. The Cerrtesian equation of the plane passing through the point (3,-2,-...

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  6. The shortest distance between the skew lines overset(-)r=(hati+2hatj...

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  7. If x,y,z are non-zero real numbers, a = xi + 2j, b = yi + 3k and c = x...

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  8. If a,b and c are vectors with magnitudes 2,3 and 4 respectively then t...

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  9. The angle beween the lines hatr=(2hati-3hatj+hatk)+lambda (hati+4hatj+...

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  10. If a, b and c are non-coplanar vectors and if d is such that d = (1)/(...

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  11. Three non-zero non-collinear vectors a, b, c are such that a + 3b is c...

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  12. The points whose position vectors are 2i + 3j + 4k, 3i + 4j + 2k and 4...

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  13. P,Q,R and four point with the position vectors 3i-4j+5k, -4i+5j+k and ...

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  14. If veca ne vec0, vecb ne vec0, vecc ne vec0, veca xx vecb =vec0 and ve...

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  15. The shortest distance between the lines r=3i+5j+7k +lambda (i+2j+k) an...

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  16. A unit vector coplanar with i+j+3k and i+3j+k and perpendicular to i+j...

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  17. If veca and vec(to)b are two non-zero perpendicular vectors, then a ve...

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  18. vec(to)a=i+j-2h rArr sum {( a xx i) xx j}^(2) is equal to

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  19. Let a, b and c be three non-coplanar vectors and let p,q and r be the ...

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  20. Let veca+i+2j+j, vecb=i-j+k, vecv=i+h-k. A vector in the plane of veca...

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