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The value of k for which the points A (1...

The value of k for which the points A (1,0,3), B (-1,3,4) C (1,2,1) and D(k,2,5) are coplanar is

A

1

B

2

C

0

D

`-1`

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

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

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

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

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

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

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  8. 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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  9. If a,b,c are non-coplanar vector and lambda is a real number then [lam...

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  10. Let a = I - k,k b - xi + j + (1 - x) k and c = yi + xj + (1 + x - y) k...

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  11. let a be unit vector, b = 2i + j - k and c = I + 3k. The maximum value...

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  12. The vectors a + 2b + 3c, 2a + b - 2c, 3a - 7c are

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  13. The points 2a + 3b - c, a - 2b + 3c, 3a + 4b - 2c, a - 6b + 6c are

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  14. The vectors 5i + 6j + 7k, 7i - 8j + 9k, 3i + 20j + 5k are

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  15. The points (2,1, -1), (1,1,1), (2,2,1), (0,2,5) are

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  16. Let a = 2i + j + k, b = I + 2j - k and a unit vector c be coplanar. If...

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  17. A unit vector coplanar with I + j + 3k and I + 3j + k and perpendicula...

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  18. The shortest distance between the straight line passing through the po...

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  19. The shortest distance between the line r = (I + 2j + 3k) + t (I + 3j +...

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  20. The shortest distance between the line r = 3i + 5j + 7k + lambda (I + ...

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