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If a,b,c are linearly independent, then ...

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

A

9

B

8

C

7

D

none

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DIPTI PUBLICATION ( AP EAMET)-PRODUCTS OF VECTORS-Exercise 1C (Triple product of Vectors
  1. If u,v,w are three nonceplannar vectors then (u + v - w), (u - v) xx (...

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

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

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

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

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

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

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

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  9. If I - 2j, 3j + k and lambda I + 3j are coplanar. Then lambda=

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  10. If I + j + k, I - j, I + 2j + ak are coplanar then a is

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  11. If 3i + 3j + sqrt(3) k, I + k, sqrt(3) I + sqrt(3) lambda k are coplan...

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  12. If a,b,c are non-coplanar vectors and lambda is a real number, then th...

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  13. Let a = I + j + k, b = I - j + 2k and c = xi + (x - 2) j - k. If the v...

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  14. Let a = I - 2j + 3k, b = 2i + 3j - k and c = lambda I + j + (2 lambda ...

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  15. If the vectors ai + j + k, I + bj + k, I + j + ck (a != b, c != 1) are...

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  16. Let a,b,c the distinct non-negative numbers. If the vectors ai + aj + ...

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  17. If a = i + j + k, b = 4i + 3j + 4k, c = i + alpha j + beta k are linea...

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  18. If the volume of the parallelopiped whose edges are represented by 12i...

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  19. If a = 2i + 3j, b = I + j + k, c = lambda I + 4j + 2k are the edges of...

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  20. If the volume of the parallelopiped with eoterminus edges 4i + 5j + k,...

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