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Prove that in a right angled triangle th...

Prove that in a right angled triangle the mid-point of the hypotenuse is equidistant from its vertices.

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MODERN PUBLICATION-VECTORS-Exercise
  1. If vecalpha=3hati+4hatj+5hatk and vecbeta=2hati+hatj-4hatk, then expre...

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  2. Prove that the perpendicular from the vertices to the opposite sides (...

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  3. Prove that in a right angled triangle the mid-point of the hypotenuse ...

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  4. If two medians of a triangle are equal, prove that the triangle is iso...

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  5. Which of the following statements are True or False : If the diagonals...

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  6. Prove that sum of squares of the diagonals of a parallelogram is equal...

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  7. In any DeltaABC prove by vectors that a^2=b^2+c^2-2 bc cos A.

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  8. In any DeltaABC prove by vectors that b^2=c^2+a^2-2 ca cos B.

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  9. In any triangle ABC, then by vectors, prove that : c^2=a^2+b^2-2ab cos...

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  10. Prove that, in any triangle ABC, cos B=(c^2+a^2-b^2)/(2ca).

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  11. With the help of vector method, prove that,cosA=(b^2+c^2-a^2)/(2bc)

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  12. In any triangle ABC, then by vectors, prove that : a=b cos C+c cos B.

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  13. Use vectors to prove that in triangleABC : b=c cos A+a cos C.

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  14. Using vector method prove that cos(A-B)=cosAcosB+sinAsinB

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  15. In any triangle ABC, show that AB^(2)+AC^(2)=2(AD^(2)+BD^(2)) wher...

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  16. Prove that any two edges in a regular tetrahedron are perpendicular.

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  17. In each problem, find the work done by a force vecF acting on a partic...

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  18. In each problem, find the work done by a force vecF acting on a partic...

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  19. Find the work done by the force vecF=hati+2hatj+hatk acting on a parti...

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  20. Find the work done in moving an object along the vector vecd=3hati+2ha...

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