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The shortest distance between the straig...

The shortest distance between the straight line passing through the point A = (6, 2, 2) and parallel to the vector (1, -2, 2) and the straight line passing through `A^(1) = ( -4, 0, -1)` and parallel to the vector (3, -2, -2) is

A

9

B

8

C

5

D

2

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A
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DIPTI PUBLICATION ( AP EAMET)-PRODUCTS OF VECTORS-Exercise 1C (Triple product of Vectors
  1. Let a = 2i + j + k, b = I + 2j - k and a unit vector c be coplanar. If...

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

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

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

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

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

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

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

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  9. a xx (b xx c) =

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

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

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

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

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

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  15. If a = I + j + k, b = i+ j, c = I and (a xx b) xx c = lambda a + mu b,...

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  16. If bara=(1)/(sqrt(10)) (3bari+bark) and barb=(1)/(7)(2bari+3barj-6bar...

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  17. I xx (a xx i) + j xx (a xx j) + k xx (a xx k)=

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  18. a = I + j - 2k implies sum {(a xx i) xx j }^(2)

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  19. [b xx c c xx a a xx b] =

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  20. (A xx B). {(B xx C) xx (C xx A)} =

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