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Prove using vectors: The median to the b...

Prove using vectors: The median to the base of an isosceles triangle is perpendicular to the base.

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RD SHARMA ENGLISH-SCALAR OR DOT PRODUCT-All Questions
  1. If vec a\ a n d\ vec b are two non collinear unit vectors such that ...

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  2. If vec a ,\ vec b are two vectors such that | vec a+ vec b|\ =| vec ...

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  3. Prove using vectors: The median to the base of an isosceles triangl...

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  4. Show that the diagonals of a rhombus bisect each other at right ang...

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  5. Using vector method, prove that the angel in a semi circle is a rig...

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  6. Prove that the cosine formula for triangles is equivalent to the de...

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  7. In a triangle O A B ,\ /A O B=90^0dot If P\ a n d\ Q are points of tri...

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  8. Prove that; If the diagonals of a quadrilateral bisect each other a...

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  9. (Pythagoras’s Theorem) Prove by vector method that in a right angle...

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  10. Prove by vector method that the sum of the square of the diagonals ...

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  11. prove using vectors: The quadrilateral obtained by joining mid-poin...

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  12. Using analytical geometry, prove that the diagonals of a rhombus are ...

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  13. Prove that the diagonals of a rectangle are perpendicular if and on...

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  14. In A B C , A D is a median. Prove that A B^2+A C^2=2\ A D^2+2\ D C...

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  15. If the median to the base of a triangle is perpendicular to the bas...

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  16. In a quadrilateral A B C D , prove that A B^2+B C^2+C D^2+D A^2=A C^2+...

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  17. What is the angle between vectors vec a\ a n d\ vec b with magnitude...

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  18. If vec a\ a n d\ vec b are two vectors such that vec adot vec b=6,\...

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  19. Find the cosine of the angle between the vectors 4 hat i-3 hat j+3 hat...

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  20. If the vectors 3 hat i+m hat j+ hat k\ a n d\ 2 hat i- hat j-8 hat k a...

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