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If D ,\ E ,\ F are the mid points of the...

If `D ,\ E ,\ F` are the mid points of the side `B C ,\ C A` and `A B` respectively of a triangle ABC, write the value of ` vec A D+ vec B E+ vec C Fdot`

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RD SHARMA ENGLISH-ALGEBRA OF VECTORS-All Questions
  1. If G denotes the centroid of Delta \ A B C ,\ then write the value of...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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  16. If vec a= hat i+ hat j , vec b= hat j+ hat k , vec c= hat k+ hat i fi...

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  17. If vec a=3 hat i- hat j-4 hat k ,\ vec b=-2 hat i+4 hat j-3 hat k\ a...

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  18. A unit vector vec r makes angle pi/3\ a n d\ pi/2 with hat j a n d\ ...

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  19. Find a unit vector in the direction of vec a=3 hat i-2 hat j+6 hat...

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  20. If vec a= hat i+2 hat j-3 hat k\ a n d\ vec b=2 hat i+4 hat j+9 hat ...

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