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The unit vector orthogonal to a = 2i + 2...

The unit vector orthogonal to a = 2i + 2j + k, b = 3i + 4j - 12k and forming a right handed system with a and b is

A

28i - 27j - 2k

B

`-28i + 27j + 2k`

C

`(28i - 27j - 2k)/(sqrt(1517))`

D

`(-28i + 27j + 2k)/(sqrt(1517))`

Text Solution

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The correct Answer is:
D
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DIPTI PUBLICATION ( AP EAMET)-PRODUCTS OF VECTORS-Exercise 1B Cross Product of Vectors
  1. A unit vector perpendicular to the plane determined by the points P(1,...

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  2. A unit vector normal to the plane through the point I, 2j, 3k is

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  3. The unit vector orthogonal to a = 2i + 2j + k, b = 3i + 4j - 12k and f...

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  4. If a = 2i + j - 3k, b = 1 - 2j + k then the vector of length 2 sqrt(3)...

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  5. The sine of the angle between the vectors I + 3j - 2k, 2i - 4j - k is

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  6. If theta is th angle between the vector 2i - 2j + 4k and 3i + j + 2k, ...

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  7. If a = 2i + 3j + 6k, b = 3i - 6j + 2k, c = 6i + 2j - 3k then a xx b =

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  8. If 13 a = 3i + 4j + 12k, 13b = 4i - 12j + 3k, 13 c = 12i + 3j - 4k the...

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  9. If (2i + 4j + 2k) xx (2i - xj + 5k) = 16i - 6j + 2xk, then the value o...

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  10. If a = 2i - 3j - k, b = I + 4j - 2k then (a + b) xx (a - b) =

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  11. If a = 3i - j - 2k, b = 2i + 3j + k then (a + 2b) xx (2a - b) =

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  12. If a = I + 2j - 3k, b = 2i + j + k, c = I + 3j - 2k then (a xx b) xx (...

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  13. 2i xx (3i - 4k) + (I + 2j) xx k =

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  14. If r = xi + yj + zk then (r xx i) .(r xx j) + xy =

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  15. If |a| = 1, |b| = 2 and the angle between a and b is 120, then {(a + 3...

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  16. (a + b) xx c + (b + c) xx a + (c + a) xx b =

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  17. If |a xx b| = |a.b| then (a,b) =

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  18. If a and b are unit vectors and a xx b = 1, then the angle between a a...

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  19. If a and b are unit vectors such that |a xx b| = a.b, then |a + b|^(2)...

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  20. If a + b + c = 0 then

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