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If D, E, F are the midpoints of BC, CA, ...

If D, E, F are the midpoints of BC, CA, AB of `Delta` ABC, then `vec(A)D + vec(B)E + vec(C)F =`

A

O

B

`3 vec(O)D`

C

`3 vec(O)E`

D

`vec(O)D + vec(O)E + vec(O)F`

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DIPTI PUBLICATION ( AP EAMET)-ADDITION OF VECTORS -EXERCISE 1
  1. If G is the centroid of Delta ABC, G' is the centroid of Delta A' B' C...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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  18. Let A (4, 7, 8), B (2, 3, 4) and C (2, 5, 7) be the position vectors o...

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  19. Let vector of magnitude 3 sqrt(6) along the internal bisector of the a...

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