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If G is the centroid of Delta ABC then v...

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

A

O

B

`vec(O)G`

C

`2 vec(O)G`

D

`3 vec(O)G`

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A
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DIPTI PUBLICATION ( AP EAMET)-ADDITION OF VECTORS -EXERCISE 1
  1. If C is the midpoint of AB and P is any point outside AB, then

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

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

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

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

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

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

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

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

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

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

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  12. If 4i + 7j + 8k, 2i + 3j + 4k, 2i + 5j + 7k are position vectors of A,...

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  13. P, Q, R are the midpoints of the sides AB, BC and CA of the triangle A...

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

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  15. If a, b, c are position vectors of three vertices of an equilateral tr...

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  16. a and b are unit vectors along OA, OB and OC bisects the angle AOB. Th...

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  17. Let O be the origin and A, B be two points p, q are vectors represente...

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  18. The vector ai + bj + ck is a bisector of the angle between the vectors...

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  19. If vec(O)A = i + 3j - 2k, vec(O)B = 3i + j - 2k and C is a point on AB...

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  20. If 4i + 7j + 8k, 2i + 3j + 4k, 2i + 5j + 7k are position vectors of A,...

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