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The position vector of the centroid of t...

The position vector of the centroid of the triangle formed by the points i + j + k, i - j + k, -i + j + k is

A

`(i + j + 3k)/(3)`

B

`(i - j + 3k)/(3)`

C

`(i + j - 3k)/(3)`

D

`(i - j - 3k)/(3)`

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The correct Answer is:
A
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DIPTI PUBLICATION ( AP EAMET)-ADDITION OF VECTORS -EXERCISE 1
  1. In Delta ABC, P, Q, R are points on BC, CA and AB respectively, dividi...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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