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The three points whose position vectors ...

The three points whose position vectors are i + 2j + 3k, 3i + 4j + 7k and -3i - 2j - 5k

A

form the vertices of an equilateral triangle

B

form the vertices of a right angled triangle

C

are collinear

D

form the vertices of an isosceles triangle

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The correct Answer is:
C
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DIPTI PUBLICATION ( AP EAMET)-ADDITION OF VECTORS -EXERCISE 1
  1. If 2i + 3j - 6k, 6i - 2j + 3k, 3i - 6j - 2k represent the sides of a t...

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  2. The points whose position vectors are 2i + 3j + 4k, 3i + 4j + 2k and 4...

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  3. The three points whose position vectors are i + 2j + 3k, 3i + 4j + 7k ...

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  4. The points whose position vectors are 2i + 3j + 4k, 3i + 4j + 2k and 4...

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  5. If the position vectors of the vertices of a triangle are 2i - j + k, ...

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  6. The points (1,1 ,1 ) ,(1,2,3 ),(2-1, 1 ) form

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  7. The points 2a + 3b + c, a + b, 6a + 11b + 5c are

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  8. The points 2i + j + k, 6i - j + 2k, 14i - 5j + 4k are

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  9. The points (1, 2, 3), (3, 4, 7), (-3, -2, -5) are

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  10. If the points whose position vectors are -2i + 3j + 5k, i + 2j + 3k, l...

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  11. The vectors 5a + 6b + 7c, 7a - 8b + 9c, 3a + 20b + 5c are

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  12. The points - a + 4b - 3c, 3a + 2b + 5c, -3a + 8b - 5c, -3a + 2b + c ar...

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

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

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

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

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

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

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

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

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