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If a, b are noncollinear vectors and A =...

If a, b are noncollinear vectors and A = (x + 4y) a + (2x + y + 1)b, B = (y - 2x +2) a + (2x - 3y - 1) b and 3A = 2B, then (x, y) =

A

(2, 1)

B

(2, -1)

C

(-2, -1)

D

(-2, 1)

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The correct Answer is:
B
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DIPTI PUBLICATION ( AP EAMET)-ADDITION OF VECTORS -EXERCISE 1
  1. if a = 3i + 2j + k, b = 6i + mj + nk and a, b are collinear, then m, n...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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