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Five forces ` vec A B` , ` vec A C` , ` vec A D` , ` vec A E` and ` vec A F` act at the vertex of a regular hexagon `A B C D E Fdot` Prove that the resultant is `6 vec A O` , where `O` is the centre of hexagon.

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Five forces vec A B , vec A C , vec A D , vec A E and vec A F act at the vertex of a regular hexagon A B C D E Fdot Prove that the resultant is 6 vec A O , where O is the centre of heaagon.

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RD SHARMA ENGLISH-ALGEBRA OF VECTORS-All Questions
  1. Prove that the sum of all vectors drawn from the centre of a regular ...

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  2. If P is a point and A B C D is a quadrilateral and vec A P+ vec...

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  3. Five forces vec A B , vec A C , vec A D , vec A E and vec A F act...

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  4. The position vectors of A, B,C and D are vec a , vec b , vec 2a+ vec ...

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  5. Let ABCD be as parallelogram. If vec a ,\ vec b ,\ vec c be the pos...

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  6. Find the position vector of a point R which divides the line joinin...

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  7. Let vec a , vec b , vec c , vec d be the position vectors of the four...

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  8. If vec a , vec b are the position vectors of A , B respectively, find...

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  9. Show that the found points A ,B ,C ,D with position vectors vec a , v...

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  10. Show that the four points P ,\ Q ,\ R ,\ S with position vectors vec ...

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  11. The vertices A , B , C of triangle A B C have respectively position...

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  12. Evaluate inte^(5x)\dx

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  13. If O is a point in space, A B C is a triangle and D , E , F are ...

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  14. Show that the sum of three vectors determined by the medians of a t...

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  15. A B C D is parallelogram and P is the point of intersection of its dia...

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  16. Show that the line segments joining the mid-points of opposite side...

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  17. A B C D are four points in a plane and Q is the point of interse...

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  18. Evaluate int\ x^7+sin2x\dx

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  19. Find the values of x and y so that the vectors 2 hat i+3 hat jand x h...

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  20. ABCD is a parallelogram. If the coordinates of A ,\ B ,\ C\ a r e\ (2,...

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