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If ` vec a ,\ vec b ,\ vec c` are position vectors of the vertices `A ,\ B\ a n d\ C` respectively, of a triangle `A B C ,\ ` write the value of ` vec A B+ vec B C+ vec C Adot`

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To solve the problem, we need to find the value of the sum of the vectors \( \vec{AB} + \vec{BC} + \vec{CA} \). ### Step-by-Step Solution: 1. **Identify the Position Vectors**: Let the position vectors of points \( A, B, C \) be represented as: - \( \vec{A} \) for point \( A \) - \( \vec{B} \) for point \( B \) ...
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RD SHARMA-ALGEBRA OF VECTORS-Solved Examples And Exercises
  1. If vec a\ a n d\ vec b represent two adjacent sides of a parallel th...

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  2. If vec a ,\ vec b ,\ vec c\ represent the sides of a triangle take...

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  3. If vec a ,\ vec b ,\ vec c are position vectors of the vertices A ,...

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  4. If vec a ,\ vec b ,\ vec c are position vectors of the vertices of ...

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  5. If vec a ,\ vec b ,\ vec c are position vectors o the point A ,\ B ...

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  6. If G denotes the centroid of "Delta"\ A B C ,\ then write the value o...

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  7. If D is the mid point of side BC of a triangle ABC such that vec A B+...

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  8. If D ,\ E ,\ F are the mid points of the side B C ,\ C A and A B respe...

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  9. If vec a\ is a non zero vecrtor iof modulus a and m is a non zero s...

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  10. If vec a ,\ vec b ,\ vec c are the position vectors of the vertices...

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  11. Write a unit vector making equal acute angle with the coordinates axes...

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  12. If a vector makes angle alpha,beta,gamma with OX, OY and OZ respective...

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  13. Write a vector of magnitude 12 units which makes 45^0 angle with X-...

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  14. Write the length (magnitude) of a vector whose project on the coordina...

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  15. Write the position vector of a point dividing the line segment joining...

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  16. Write the direction cosines of the vector vec r=6 hat i-2 hat j+3 hat...

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  17. If vec a=i+j ,\ vec b=j+k\ a n d\ vec c=k+i ,\ write unit vectors ...

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  18. If vec a= hat i+ hat j ,\ vec b= hat j+ hat k\ a n d\ vec c= hat k+...

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  19. If vec a= hat i+2 hat j , vec b= hat j+2 hat k ,\ write a unitvector...

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  20. Write the position vector of a point dividing the line segment joining...

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