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The volume of the tetrahedron formed by ...

The volume of the tetrahedron formed by 4i + 5j + k, - j + k, 3i + 9j + 4k, 4 (-I + j + k) is

A

7

B

9

C

11

D

13

Text Solution

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The correct Answer is:
C
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DIPTI PUBLICATION ( AP EAMET)-PRODUCTS OF VECTORS-Exercise 1C (Triple product of Vectors
  1. The volume of the tetrabodron with vertices at (0,0,0), (1,0,0),(0,1,0...

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

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

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

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

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

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

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

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

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

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

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

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

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

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  15. If a,b,c are linearly independent, then ([2a + b 2b + c. 2c + a])/([a ...

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  16. If a,b,c are linearly independent, ((a + 2b). (2b + c) xx (5c + a))/(a...

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

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  18. If the vectors 2i - 3j + 4k, I + 2j - k and xi - j + 2k are coplanar t...

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  19. If the vectors 2i - j + k, I + mj. I + j + k are coplannar then the va...

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  20. If the three vectors 2i - j + k, I + 2j - 3k and 3i + lambda j + 5k ar...

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