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If the vectors AB = -3i + 4k and AC = 5i...

If the vectors AB = -3i + 4k and AC = 5i - 2j + 4k are the sides of a triangle ABC, then the length of the median through A is

A

`sqrt(14)`

B

`sqrt(18)`

C

`sqrt(25)`

D

`sqrt(29)`

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The correct Answer is:
B
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DIPTI PUBLICATION ( AP EAMET)-ADDITION OF VECTORS -EXERCISE 1
  1. If the position vectors of A, B are 2a - 3b, 3a + 2b respectively then...

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  2. The position vectors of P and Q are respectively a and b. If R is a po...

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  3. If the vectors AB = -3i + 4k and AC = 5i - 2j + 4k are the sides of a ...

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  4. If the position vectors of A, B, C are 2i - 2j + k, 2i + j - k, -2i + ...

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  5. The position vector of a point lying on the line joining the points wh...

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  6. In Delta ABC, P, Q, R are points on BC, CA and AB respectively, dividi...

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  7. P, Q, R, S have position vectors bar(p), bar(q), bar(r), bar(s) respec...

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  8. The position vector of the centroid of the triangle formed by the poin...

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  9. The position vector of the centroid of the triangle formed by the poin...

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  10. If C is the midpoint of AB and P is any point outside AB, then

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  11. If A, B, C are the vertices of a triangle then vec(A)B + vec(B)C + vec...

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  12. If G is the centroid of Delta ABC then vec(G)A + vec(G)B + vec(G)C =

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  13. If G is the centroid of Delta ABC, G' is the centroid of Delta A' B' C...

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  14. If D is the midpoint of the side BC of Delta ABC then vec(A)B + vec(A)...

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  15. If D, E, F are the midpoints of BC, CA, AB of Delta ABC, then vec(A)D ...

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  16. If D, E are the midpoints of AB, AC of Delta ABC and vec(D)E = lambda ...

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  17. If D, E are the midpoints of AB, AC of Delta ABC, then vec(B)E + vec(D...

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  18. If S is the circumcentre, G the centroid, O the orthocentre of Delta A...

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  19. If S is the circumcentre, O is the orthocentre of Delta ABC then vec(O...

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  20. If A = (3, 2, 5), B = (3, 3, 5) and C = (3, 4, 8) are the vertices of ...

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