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Prove using vectors: Medians of a triang...

Prove using vectors: Medians of a triangle are concurrent.

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RD SHARMA ENGLISH-ALGEBRA OF VECTORS-All Questions
  1. If D and E are the mid-points of sides AB and AC of a triangle A B C r...

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  2. If G is the centroid of a triangle A B C , prove that vec G A+ vec G ...

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  3. Prove using vectors: Medians of a triangle are concurrent.

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  4. Points L, M, N divide the sides BC, CA, AB of ABC in the ratio 1:4, 3:...

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  5. Prove using vectors: The diagonals of a quadrilateral bisect each o...

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

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  7. Prove that the line segment joining the mid points of two side of a...

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  8. A vector vec r is inclined at equal to O X ,O Ya n dO Zdot If the mag...

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  9. A vector vec r has length 21 and its direction ratios are proport...

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  10. If vec a and vec b are non-collinear vectors and vectors vecalpha=(x...

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  11. A B C D is a parallelogram. E ,F are mid-points of B C ,C D respective...

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  12. If a\ a n d\ b ar non collinear vector such that x1 vec a+y1 vec b=x2 ...

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  13. Show that the vectors a, b, c given by vec a= hat i+2 hat j+3 hat k ,...

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  14. A vector vec O P is inclined to O X at 50^0 and O Y at 60^0 . Find th...

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  15. If a vector makes angles alpha,beta,gamma. with . OX ,O Ya n dO Z ...

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  16. A B C D is a parallelogram. If L and M are the mid-points of B C and D...

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  17. Find a unit vector in the direction of the resultant of the vectors...

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  18. Find the position vector of the mid-point of the vector joining the...

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  19. Show that the line joining one vertex of a parallelogram to the mid...

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  20. Let vec a , vec b, vec c be three non-zero vectors such that any two ...

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