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Two vertices of a triangle have position...

Two vertices of a triangle have position vectors `3hati+4hatj-4hatk` and `2hati+3hatj+4hatk.` If the position vector of the centroid is `hati+2hatj+3hatk`, then the position vector of the third vertex is

A

`-2hat I - hat j + 9 hat k`

B

`-2 hat I - hat j-6 hat k`

C

`2 hat i- hat j+6 hat k`

D

`-2 hat I + hat j + 6 hat k`

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The correct Answer is:
A, B
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SURA PUBLICATION-VECTOR ALGEBRA -I-EXERCISE 8.5
  1. A vector makes equal angle with the positive direction of the coordina...

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  2. The vectors veca-vecb,vecb-vecc,vecc-veca are

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  3. If ABCD is a parallelogram, then vec(AB)+vec(AD)+vec(CB)+vec(CD) is e...

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  4. One of the diagonals of parallelogram ABCD with veca and vecb as adjac...

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  5. If veca,vecb are the position vectors A and B then which one of the fo...

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  6. If veca,vecb,vecc are the position vectors of three collinear points, ...

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  7. If vecr=(9veca+7vecb)/(16) then the point P whose position vector vecr...

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  8. If lambdahati+2lambdahatj+2lambdahatk is a unit vector,then the value ...

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  9. Two vertices of a triangle have position vectors 3hati+4hatj-4hatk and...

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  10. If |veca+vecb|=60,|veca-vecb|=40" ""and"" " |vecb|=46,"then" |veca|is

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  11. If veca and vecb having same magnitude and angle between them is 60^(@...

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  12. The value of thetain(0,(pi)/(2)) for which the vectors veca=(sintheta)...

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  13. If |veca|=13,|vecb|=5 and veca.vecb = 60 then |vecaxxvecb| is

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  14. Vectors veca and vecb are inclined at an angle theta = 120^(@). If |ve...

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  15. If veca and vecb are two vectors of magnitude 2 and inclined at an ang...

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  16. If the projection of 5hati-hatj-3hatk on the vector hati+3hatj+lambdah...

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  17. If (1,2,4) and (2,-3lambda,-3) are the initial and terminal points of ...

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  18. If the points whose position vectors 10hati+3hatj,12hati-5hatj and aha...

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  19. If veca=hati+hatj+hatk,vecb=2hati+xhatj+hatk,vecc=hati-hatj+4hatk and ...

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  20. If veca=hati+2hatj+2hatk,|vecb| =5 and the angle between veca and vecb...

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