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D,E,F are mid-points of the sides of the...

D,E,F are mid-points of the sides of the triangle ABC, show that for any point O, the system of concurrent forces represented by `vec(OA),vec(OB),vec(OC)` is equivalent to the system represented by `vec(OD),vec(OE),vec(OF)`.

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MODERN PUBLICATION-VECTORS-Exercise
  1. Vectors drawn from the origin to the point A,B and C are respectively ...

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  2. Give a condition that the three vectors veca,vecb and vecc form the th...

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  3. D,E,F are mid-points of the sides of the triangle ABC, show that for a...

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  4. In pentagon ABCDE, prove that : vec(AB)+vec(BC)+vec(CD)+vec(DE)+vec(EA...

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  5. ABCD is a parallelogram and AC, BD are its diagonals. Show that : vec(...

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  6. ABCDEF is a regular hexagon. Show that : vec(OA)+vec(OB)+vec(OC)+vec(O...

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  7. If ABCDEF is a regular hexagon and AB+AC+AD+AE+AF=lamdaAD, then lamda ...

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  8. ABCDEF is a regular hexagon. Show that : vec(AB)+vec(AC)+vec(AD)+vec(A...

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  9. Prove that |veca|-|vecb| le|veca - vecb |.

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  10. If veca+5vecb=vecc and veca -7 vecb =2vecc, then show that veca has th...

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  11. Write two different vectors having same magnitude.

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  12. Write two different vectors having same direction.

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  13. Find the sum of the vectors veca=hati-2hatj+hatk,vecb=-2hati+4hatj+5ha...

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  14. Find the vector with initial point P(-4,2) and terminal point Q(0,-4).

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  15. Find a unit vector in the direction from : P(3,2) towards Q(5,6).

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  16. Find a unit vector in the direction from : P(1,2) towards Q(4,5).

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  17. Compute the magnitude of the following vectors: vecc=(1/sqrt3)veci+(1/...

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  18. Find the magnitude of the vector hati-3hatj+4hatk.

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  19. Find the value of x for which x(hati + hatj + hatk) is a unit vector.

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  20. Find the unit vector in the direction of the vector veca=hati+hatj+2ha...

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