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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

Text Solution

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The correct Answer is:
D
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DIPTI PUBLICATION ( AP EAMET)-PRODUCTS OF VECTORS-Exercise 1C (Triple product of Vectors
  1. The volume of the parallelopiped whose edges are represented by 2i - 3...

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  2. The volume of the parallelopiped with edges (2, -3, 0), (1,1, - 1), (3...

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

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  4. The volume of the parallelopiped whose sides are OA = (lambda + 1) i +...

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  5. The volume of the parallelopiped whose sides ae OA = (lambda + 2) i + ...

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  6. Let Oa,Ob,OC be the co-terminal edges of a rectangular parallelopiped ...

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  7. The volume of the tetrabodron with vertices at (0,0,0), (1,0,0),(0,1,0...

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  8. The volume of the tetrahedron formed by (1,2,3), (4,3,2), (5,2,7),(6,4...

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  9. The volume of the tetrahedron formed by 4i + 5j + k, - j + k, 3i + 9j ...

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  10. The volume of (in cubic units) of the tetrahedron with edges I + j + k...

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  11. If a,b,c are noncoplanner vectors then (a.(b xx c))/((c xx a). B) + (b...

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  12. [ 2+6 -2+7 8-10] =

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  13. If (a - lambda b) . (b - 2c) xx (c + 3a) = 0 then lambda =

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  14. If a.i = 4 then (a . j) xx (2j - 3k) =

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  15. {a. (b xx i)} + {a. (b xx j)} j + {a . (b xx k)} k =

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  16. (a + b) xx c + (b + c) xx a + (c + a) xx b =

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  17. (a - b) . (b - c) xx (c - a) =

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  18. C. (b + c) xx (a + b + c) =

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  19. If u,v,w are three nonceplannar vectors then (u + v - w), (u - v) xx (...

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  20. If a,b,c are three vectors such that [abc]=5, then the value of [a×bb×...

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