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If the position vectors of A, B, C are i...

If the position vectors of A, B, C are i + 2j + 3k, j + 2k, - i + k and `vec(A)B = lambda vec(A)C` then `lambda`=

A

0

B

1

C

2

D

`1//2`

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The correct Answer is:
D
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DIPTI PUBLICATION ( AP EAMET)-ADDITION OF VECTORS -EXERCISE 1
  1. If vec(O)A = i + + k, vec(A)B = 3i - 2j + k, vec(B)C = i + 2j - 2k, v...

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  2. If the position vectors of A, B, C, D are a, b, 2a + 3b, a - 2b respec...

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  3. If the position vectors of A, B, C are i + 2j + 3k, j + 2k, - i + k an...

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  4. If the position vectors of A, B, C are (-2, 1, 1), (-4, 2, 2), (6, -3,...

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  5. If three points A, B and C have position vectors (1, x, 3), (3, 4, 7) ...

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  6. If the points whose position vectors are 2i + j + k, 6i - j + 2k and 1...

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  7. If the points with position vectors 60i + 3j, 40i - 8j and ai - 52j ar...

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  8. if a = 3i + 2j + k, b = 6i + mj + nk and a, b are collinear, then m, n...

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  9. The vectors a and b are noncollinear, If a + (x + 1) b and (2x - 3) b ...

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  10. If a, b are noncollinear vectors and A = (x + 4y) a + (2x + y + 1)b, B...

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  11. Let a, b and c be three non zero vectors, no two of which are collinea...

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  12. Three non-zero non-collinear vectors a, b, c are such that a + 3b is c...

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  13. If a, b and c are non-coplanar vectors and if d is such that d = (1)/(...

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  14. If the vectors 2i + 3j, 5i + 6j, 8i + lambda j have their initial poin...

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  15. The length of the line segment joining the points 2i - 2j + 3k, 5i + 2...

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  16. If the position vectors of A and B are 3i - 2j + k and 2i + 4j - 3k th...

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

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

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

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

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