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Prove that the sum of the vectors repres...

Prove that the sum of the vectors represented by the sides of a closed polygon taken in order is a zero vector.

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ARIHANT PUBLICATION-VECTOR ALGEBRA -Odisha Bureau.s Textbook Solutions (Exericise 12(a))
  1. Find the vectors from the origin to the intersection of the medians of...

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  2. Prove that the sum of all the vectors drawn from the centre of a regul...

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  3. Prove that the sum of the vectors represented by the sides of a closed...

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  4. Prove that |a+b| le |a| + |b| State when equality will hold,

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  5. Prove that |a-b| ge |a| - |b|

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  6. What is geometrical significance of the relation |veca+vecb| = |veca-v...

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  7. Find the magnitude of the vector vec(PQ), its scalar components and th...

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  8. Find the magnitude of the vector vec(PQ), its scalar components and th...

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  9. Find the magnitude of the vector vec(PQ), its scalar components and th...

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  10. In each of the following find the vector vec(PQ), its magnitude and di...

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  11. In each of the following find the vector vec(PQ), its magnitude and di...

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  12. If a = (2, -2, 1), b = (2, 3, 6) and c = (-1, 0, 2) find the magnitude...

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  13. Determine the unit vector having the direction of the given vector in ...

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  14. Determine the unit vector having the direction of the given vector in ...

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  15. Determine the unit vector having the direction of the given vector in ...

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  16. Determine the unit vector having the direction of the given vector in ...

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  17. Find the unit vector in the direction of the vector r(1) - r(2), where...

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  18. Find the unit vector parallel to the sum of the vectors veca = 2hati+4...

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  19. If the sum of two unit vectors is a unit vector, show that the magnitu...

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  20. The position vectors of the points A, B, C and D are 4hati+3hatj-hatk,...

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