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If A = i + 2j + 3k and B = 2i - j + 4k, ...

If A = i + 2j + 3k and B = 2i - j + 4k, then the position vectors of the points of trisection are

A

(4/3, 1, 10/3), (5/3, 0, 11/3)

B

(-4/3, -1, -10/3), (-5/3, 0, -11/3)

C

(4/3, -1, -10/3), (-5/3, 0, 11/3)

D

none

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A
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DIPTI PUBLICATION ( AP EAMET)-ADDITION OF VECTORS -EXERCISE 1
  1. If the position vectors of A, B are 2a + 3b - c, 4a - b + 5c, then the...

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

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  3. If A = i + 2j + 3k and B = 2i - j + 4k, then the position vectors of t...

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  4. A point C = (5a + 4b - 5c)/(3) divides the line joining A = a - 2b + 3...

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  5. The ratio in which i + 2j + 3k divides the join of -2i + 3j + 5k and 7...

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  6. If A = i + 2j + 3k, B = 2i + 4j + 7k and C = 2i + 3j + 5k are collinea...

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  7. The ratio in which the line segment joining the points with position v...

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

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  9. If the position vectors of A, B are 2a - 3b, 3a + 2b respectively then...

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

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

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

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

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

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

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

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

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

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

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

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