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If I - 2j, 3j + k and lambda I + 3j are ...

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

A

`-1`

B

`1//2`

C

`-3//2`

D

2

Text Solution

Verified by Experts

The correct Answer is:
C
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DIPTI PUBLICATION ( AP EAMET)-PRODUCTS OF VECTORS-Exercise 1C (Triple product of Vectors
  1. If the vectors 2i - j + k, I + mj. I + j + k are coplannar then the va...

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

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

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

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

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

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

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

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

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

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

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

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

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

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  15. The value of k for which the points A (1,0,3), B (-1,3,4) C (1,2,1) an...

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  16. If the points 3i - 2j - k, 2i + 3j - 4k, I + j + 2k, 4i + 5j + lambda ...

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  17. If the volume of the tetrahedron with edges 2i + j -k, I + aj + k and ...

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  18. The volume of the tetrahedron having the edges I + 2j + k, I + j + k, ...

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  19. If a,b,c,d are the position vectors of A,B,C,D respectively then the v...

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  20. If d = x (a xx b) + y (b xx c) + z (c xx a) and [a b c] = 1/8, then x ...

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