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If a, b and c are non-coplanar vectors and if d is such that `d = (1)/(x) (a + b + c) and a = (1)/(y) (b + c + d)` where x and y are non-zero real numbers, then `(1)/(xy) (a + b + c + d) =`

A

`-a`

B

0

C

2a

D

3c

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B
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DIPTI PUBLICATION ( AP EAMET)-ADDITION OF VECTORS -EXERCISE 1
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  6. If the position vectors of A and B are 3i - 2j + k and 2i + 4j - 3k th...

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  7. The distance between the points (5, 3, 1), (3, 2, -1) is

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  8. The distance between the points i + 6j + 7k, -3i + 4j + 3k is

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  9. If a = 2i + 5j + 6k, b = -2i + 3j + 2k then the magnitude of a - b is

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  10. If a = 3i - 2j + k, b = 2i - 4j - 3k, c = -i + 2j + 2k then a + b + c ...

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  11. If a = i - j + 2k, b = 2i + 3j + k, c = i - k, then magnitude of a + 2...

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  12. If a = i + j + k, b = 2i + 3j, c = 3i + 5j - 3k and d = k + j, then th...

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  13. If the position vectors of A, B are 2i - 9j - 4k, 6i - 3j + 8k then th...

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  14. If the position vectors of A = (2, 3, 5), B = (1, 1, 7) then the unit ...

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

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

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

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

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

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

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