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If veca=hati+hatk, hatk, overset(-)b=hat...

If `veca=hati+hatk, hatk, overset(-)b=hati-hatj+hatk, overset(-)c=hati+hatj-hatk and overset(-)d=hati-hatj-hatk`, then match the following columns

A

`{:(,,A,B,C,D),(,a,3,1,2,6):}`

B

`{:(,,A,B,C,D),(,b,3,1,6,5):}`

C

`{:(,,A,B,C,D),(,c,1,3,2,6):}`

D

`{:(,,A,B,C,D),(,d,1,3,6,4):}`

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The correct Answer is:
B
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SIA PUBLICATION-ADDITION OF VECTORS AND PRODUCT OF VECTORS-Problems
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  2. If the points vectors of A,B and C are respectively 2hati-hatk+hatk, h...

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  3. If veca=hati+hatk, hatk, overset(-)b=hati-hatj+hatk, overset(-)c=hati+...

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  4. Let overset(-)a be a unit vector overset(-)b=2hati+hatj-hatk and overs...

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  5. Let a=a(1) hati+a(2) hatj+a(3) hatk Assertion (A) The identity |ve...

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  6. If the point whose position vectors are 2hati+hatj+hatk, 6hati-hatj+2h...

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  7. The ratio in which i + 2j + 3k divides the join of -2i + 3j + 5k and 7...

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  8. If veca=overset(-)i-overset(-)j-overset(-)k and vecb=lambda hati-3hatj...

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  9. The volume (in cubic unit) of the tetrahedron with edges hati+hatj+hat...

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  10. If a + b + c = 0 and |a| = 3, |b| = 4 and |c| = sqrt(37) the angle bet...

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  11. The position vector of a point lying on the line joining the points wh...

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  12. If hati-2hatj,3hatj+4hatk and lambda hati+3hatj are coplanar, then lam...

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  13. If the volume of parallelopiped with conterminus edges 4hati+5hatj+hat...

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  14. If veca. hati+veca. (2hati+hatj)=veca. (hati+hatj+3hatk)=1 then veca i...

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  15. If the vector veca=2hati+3hatj+6hatk and vecb are collinear and |vecb|...

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  16. If vec(a) and vec(b) are unit vectors, then the vectors (vec(a) + vec(...

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  17. Statement I Two non-zero, non-collinear vectors are linearly independe...

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  18. Match the columns and choose the correct answer.

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  19. Assertion (A): Three vectors are coplanar if one of them is expressibl...

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  20. The points collinear (1,-2,-3) and (2,0,0) among the following is

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