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If a = 3i - 2j + k and b = i + 2j + 5k, ...

If a = 3i - 2j + k and b = i + 2j + 5k, then the unit vector along a - b is

A

`(sqrt(2)i+4j+4k)/(sqrt(34))`

B

`(i-2j-2k)/(3)`

C

`(-2i+4j+4k)/(6)`

D

`(sqrt(2)i+4j-4k)/(sqrt(340))`

Text Solution

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The correct Answer is:
B
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DIPTI PUBLICATION ( AP EAMET)-ADDITION OF VECTORS -EXERCISE 1
  1. If the position vectors of A = (2, 3, 5), B = (1, 1, 7) then the unit ...

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  2. If a = 3i - 2j + k, b = -i + j + k then the unit vector parallel to th...

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  3. If a = 3i - 2j + k and b = i + 2j + 5k, then the unit vector along a -...

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  4. If a = i + j - 2k, b = -i + 2j + k, c = i - 2j + 2k, then a unit vecto...

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  5. If a = i + j, b = j + k and c = i + k then a unit vector in the direct...

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  6. If lambda (2i - 4j + 4k) is a unit vector then lambda =

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  7. If the vector a = 2i + 3j + 6k and b are collinear and |b| = 21, then ...

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  8. If 2i + 3j - 6k, 6i - 2j + 3k, 3i - 6j - 2k represent the sides of a t...

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  9. The points whose position vectors are 2i + 3j + 4k, 3i + 4j + 2k and 4...

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  10. The three points whose position vectors are i + 2j + 3k, 3i + 4j + 7k ...

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  11. The points whose position vectors are 2i + 3j + 4k, 3i + 4j + 2k and 4...

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  12. If the position vectors of the vertices of a triangle are 2i - j + k, ...

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  13. The points (1,1 ,1 ) ,(1,2,3 ),(2-1, 1 ) form

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  14. The points 2a + 3b + c, a + b, 6a + 11b + 5c are

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  15. The points 2i + j + k, 6i - j + 2k, 14i - 5j + 4k are

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  16. The points (1, 2, 3), (3, 4, 7), (-3, -2, -5) are

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  17. If the points whose position vectors are -2i + 3j + 5k, i + 2j + 3k, l...

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  18. The vectors 5a + 6b + 7c, 7a - 8b + 9c, 3a + 20b + 5c are

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  19. The points - a + 4b - 3c, 3a + 2b + 5c, -3a + 8b - 5c, -3a + 2b + c ar...

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  20. The points 2i + j - k, i + j + k, 2i + 2j + k, 2j + 5k are

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