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if a = 3i + 2j + k, b = 6i + mj + nk and...

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

A

m = 2, n = 10

B

m = 10, n = 2

C

m = 4, n = 2

D

m = 2, n = 4

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C
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DIPTI PUBLICATION ( AP EAMET)-ADDITION OF VECTORS -EXERCISE 1
  1. If the points whose position vectors are 2i + j + k, 6i - j + 2k and 1...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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