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In DeltaABC, P, Q and R are mid points o...

In `DeltaABC`, P, Q and R are mid points of the sides AB, BC, and CA respectively. If D is any point
i) then express `bar(DA)+bar(DB)+bar(DC)` in terms of `bar(DP), bar(DQ) and bar(DR)`
ii) If `bar(PA)+bar(QB)+bar(RC)=bar(a)` then find `bar(a)`.

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The correct Answer is:
`= (1)/(2)`
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VIKRAM PUBLICATION ( ANDHRA PUBLICATION)-ADDITION OF VECTORS -Exercise - 4 (a)
  1. ABCD is a parallelogram . If L arid M and the middle points of BC and ...

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  2. ABCD is a parallelogram . If L arid M and the middle points of BC and ...

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  3. In DeltaABC, P, Q and R are mid points of the sides AB, BC, and CA res...

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  4. In DeltaABC, P, Q and R are mid points of the sides AB, BC, and CA res...

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  5. Let bar(a) = bar(i)+2bar(j)+3bar(k) and bar(b) = 3bar(i)+bar(j). Find ...

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  6. If the vectors - 3 bar(i) + 4 bar(j) + lambda bar(k) and mu bar(i)+ 8...

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  7. ABCDE is a pentagon. If the sum of the vectors bar(AB),bar(AE), bar(...

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  8. If the position vectors of the points A,B,C are -2bar(i)+bar(j)-bar(...

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  9. If bar(OA) = bar(i) + bar(j)+ bar(k), bar(AB) = 3bar(i)-2bar(j)+bar(k)...

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  10. If bar(a) = 2bar(i)+5bar(j)+bar(k) and bar(b) = 4bar(i)+mbar(j)+nbar(k...

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  11. Let bar(a) = 2bar(i) +4bar(j)-5bar(k), bar(b) = bar(i)+bar(j)+bar(k), ...

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  12. If the triangle formed by the vectors 3 bar(i) + 5 bar(j) + 2 bar(k) ,...

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  13. If alpha, beta and gamma be the angle made by the vector 3bar(i)-6bar(...

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  14. Find the angles made by the straight line passing through the points (...

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  15. i) bar(a), bar(b), bar(c) are pairwise non zero and non collinear vect...

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  16. bar(a), bar(b), bar(c) are non-coplanar vectors. Prove thate the follo...

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  17. bar(a) , bar(b), bar (c ), are non-coplanar vectors, Prove that the fo...

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  18. If bar(i), bar(j), bar(k) are unit vectors along the positive directio...

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  19. If bar(a), bar(b), bar(c) are non coplanar vectors, then test for the ...

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  20. If bar(a), bar(b), bar(c) are non coplanar vectors, then test for the ...

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