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The points i + j + k, i + 2j, 2i + 2j + ...

The points i + j + k, i + 2j, 2i + 2j + k, 2i + 3j + 2k are

A

collinear

B

coplanar but not collinear

C

noncoplanar

D

none

Text Solution

Verified by Experts

The correct Answer is:
C
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DIPTI PUBLICATION ( AP EAMET)-ADDITION OF VECTORS -EXERCISE 1
  1. The points - a + 4b - 3c, 3a + 2b + 5c, -3a + 8b - 5c, -3a + 2b + c ar...

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

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  3. The points i + j + k, i + 2j, 2i + 2j + k, 2i + 3j + 2k are

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  4. The points (2, -1, 3), (-1, 2, -4), (-12, -1, -3), (6, 2, -1) are

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  5. The vectors 3a - 2b - 4c, -a + 2c, - 2a + b + 3c are

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  6. If the vectors 2a - b + c, a + 2b - 3c, 3a + mb + 5c are linearly depe...

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  7. If a = i + j + k, b = 4i + 3j + 4k, c = i + alpha j + beta k are linea...

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  8. If a = i + 4j, b = 2i - 3j and c = 5i + 9j then c =

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  9. If a = 2i - j + 3k, b = -i + 4j - 2k, c = 5i + j + 7k and xa + yb = c ...

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  10. The linear relation between the vectors a + 3b + 4c, a - 2b + 3c, a + ...

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  11. The values of lambda such that (x, y, z) ne (0, 0, 0) and (i + j + 3k)...

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  12. If the position vectors of A, B are 2a + 3b - c, 4a - b + 5c, then the...

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  13. If the position vectors of A, B are i + j + k and i + j - 4k repective...

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  14. If A = i + 2j + 3k and B = 2i - j + 4k, then the position vectors of t...

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  15. A point C = (5a + 4b - 5c)/(3) divides the line joining A = a - 2b + 3...

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  16. The ratio in which i + 2j + 3k divides the join of -2i + 3j + 5k and 7...

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  17. If A = i + 2j + 3k, B = 2i + 4j + 7k and C = 2i + 3j + 5k are collinea...

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  18. The ratio in which the line segment joining the points with position v...

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  19. If the position vectors of A, B are i + 2j - 3k, 3i - 2j + 5k respecti...

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  20. If the position vectors of A, B are 2a - 3b, 3a + 2b respectively then...

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