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If A, B, C are vertices of a triangle whose position vectors are `vec a, vec b and vec c` respectively and G is the centroid of `Delta ABC, " then " vec(GA) + vec(GB) + vec(GC),` is

A

`vec 0`

B

`veca + vecb + vec c `

C

`(vec a +vec b + vec c)/(3)`

D

`(veca - vec b - vec c)/(3)`

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A
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DISHA PUBLICATION-VECTOR ALGEBRA-EXERCISE -1 : CONCEPT BUILDER
  1. The figure formed by the four points hati + hatj -hatk, 2hati + 3hatj,...

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  2. If the vector 8hati+ahatj of magnitude 10 is the directionn of the vec...

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  3. If A, B, C are vertices of a triangle whose position vectors are vec ...

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  4. Which of the following is an example of two different vectors with sam...

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  5. veca=3hati-5hatj and vecb=6hati+3hatj are two vectors and vec c is a v...

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  6. If vecp,vecq and vecr are perpendicular to vecq + vecr , vec r + vecp...

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  7. If veca =hati + hatj - hatk, vecb = 2hati + 3hatj + hatk and vec c = h...

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  8. If hat(i)+hat(j), hat(j)+hat(k), hat(i)+hat(k) are the position vector...

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  9. If veca and vecb are non colinear vectors, then the value of alpha for...

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  10. If angle between veca = hati - 2hatj + 3hatk and vecb = 2hati + hatj ...

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  11. If veca, vecb,vecc are non-coplanar vectors and lambda is a real numbe...

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  12. Find the unit vector parallel to the resultant vector of 2hati+4hatj-5...

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  13. If the middle points of sides BC, CA and AB of triangle ABC are respec...

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  14. Find the length diagonal AC of a prallelogram ABCD whose two adjacent ...

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  15. If f is the centre of a circle inscribed in a triangle ABC, then |vec...

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  16. Let vec a, vec b and vec c are vectors of magnitude 3,4,5 respectively...

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  17. If veca , vecb , vec c are any three coplanar unit vectors , then :

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  18. The vector veca=alpha hati+2hatj+betahatk lies in the plane of vectors...

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  19. Let vecu= hati+hatj, vecv = hati -hatj and vecw = hati+2hatj+3hatk. I...

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  20. If vectors a=4hat(i)-3hat(j)+6hat(k) and vector b=-2hat(i)+2hat(j)-hat...

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