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The vectors a + 2b + 3c, 2a + b - 2c, 3a...

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

A

coplanar

B

collinear

C

noncoplanar

D

none

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The correct Answer is:
A
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DIPTI PUBLICATION ( AP EAMET)-PRODUCTS OF VECTORS-Exercise 1C (Triple product of Vectors
  1. Let a = I - k,k b - xi + j + (1 - x) k and c = yi + xj + (1 + x - y) k...

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

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

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

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

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

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

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

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

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

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

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  12. If A = (1,-2, -1), B = (4, 0, -3) C = (1,2, - 1) and D = (2, -4, -5) t...

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  13. (I xx j) xx k + (j xx k) xx I + (k xx i) xx j =

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

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  15. a xx (b xx c) =

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  16. a xx (b xx c), b xx (c xx a, c xx (a xx b) are

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  17. If a = 2i + 3j + 5k, b = - I + j + k, c = 4i + 2j + 3k then (a xx b) x...

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  18. If a = I + j - k, b = I - j + k, c = I - j - k then a xx (b xx c) =

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  19. If a = i- 2j + k, b = 2i + j - k, c = 4i + 4j + 3k then |(a xx b) xx c...

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  20. If a = 2i + 3j - 4k, b = I + j + k and c = 4i + 2j + 3k, then |a xx (b...

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