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If [a b c] = 3, then the volume (in cube...

If [a b c] = 3, then the volume (in cube units) of the parallelopiped with 2a + b, 2b + c and 2c + a as coteminous edges is

A

15

B

22

C

25

D

27

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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 the vectors hati+3hatj+4hatk, lambda hati-4hatj+hatk are othogonal ...

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  2. The vector vecc. (vecb+vecc) xx (veca +vecb+vecc) is equal to

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  3. If 3hati+3hatj+sqrt3hatk, hati+hatk, sqrt3 hati+sqrt3 hatj+lambda hatk...

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  4. If D,E and F are respectively the mid points of AB, AC and BC in trian...

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  5. If veca, vecb, vecc are three non-coplanar vectors, then the vectors e...

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  6. If a,b,c are three vectors such that a = b + c and the angle between b...

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  7. Let vecam vecvm vecc be the position vectors of the vertices A,B,C res...

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  8. If veca=hati+hatj+hatk, overset(-)(b)=veci+vecj, vecc=veci and (veca x...

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  9. If veca. veci =veca. (veci+vecj)=veca.(veci+vecj+veck)," then "veca is...

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  10. I : If three points A, B and C have position vectors (1, x, 3), (3, 4,...

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  11. The orthogona projection of overset(-)a" on overset(-)(b) is

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  12. If the position vectors of the vertices of a triangle are 2i - j + k, ...

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  13. If [a b c] = 3, then the volume (in cube units) of the parallelopiped ...

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  14. (veca+vecb).(vecb+vecc)xx (veca+vecb+vecc) is equal to

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  15. If veca=hati+4hatj, vecb=2hati-3hatj, vecc=5hati+9hatj" then "vecc is ...

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  16. ABCD is a parallelogram, with AC, BD as diagonals, then overset(-)(AC)...

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  17. If veca=hati+hatj+thatk, vecb =hati+2hatj+3hatk then the value of 't f...

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  18. If theta is the angled between veca and vecb and |veca xx vecb|=|veca....

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  19. [hati-hatj hatj -hatk hatk-hati] is equal to

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  20. If the four vectors a,b,c,d are coplanar, then (a xx b) xx (c xx d) =

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