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Prove by vector method that the line seg...

Prove by vector method that the line segment joining the mid-points of the diagonals of a trapezium is parallel to the parallel sides and equal to half of their difference.

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By vector method prove that the straight line joining the mid-points of the diagonals of a trapezium is parallel ot the parallel sides and half of their difference.

Prove that the line segment joining the mid-points of the lateral sides of any trapezium is parallel to any of its parallel sides.

Prove that the line segment joining the mid-point of two transverse sides of a trapezium is parallel to its parallel sides.

By vector method prove that the straight line joining the midpoints of two non-parallel sides of a trapezium is parallel to the parllel sides and half of their sum.

Prove that the line segment obtianed by joining the midpoints of two transversed sides of a trapezium is parallel to the parallel sides of the trapezium.

By vector method show that the figure formed by joining the mid-points of a quadrilateral is parallelogram.

Using vector properties, show that, a straight line obtained by joining the mid-points of the oblique sides of a trapezium is parallel to the parallel sides of the trapezium and is equal to half of the sum of lengths of the parallel sides.

Using vector method show that the line joining the middle points of two sides of a triangle is parallel and half of the third side.

Using vectors , prove that the line joining the midpoints of two sides of a triangle, is parallel to the base and half its length.

Show that the straight line joining the mid - points of two sides of a triangle is equal to half the third side .

CENGAGE PUBLICATION-VECTOR ALGEBRA-All Questions
  1. Let O A C B be a parallelogram with O at the origin andO C a diagonal....

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  2. In a triangle A B C ,Da n dE are points on B Ca n dA C , respectivley,...

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  3. Prove by vector method that the line segment joining the mid-points...

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  4. If the resultant of two forces is equal in magnitude to one of the ...

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  5. The axes of coordinates are rotated about the z-axis through an angle ...

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  6. Prove that the sum of three vectors determined by the medians of a ...

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  7. If two side of a triangle are hat i+2 hat j and hat i+ hat k , then...

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  8. If in parallelogram ABCD, diagonal vectors are vec A C=2 hat i+3 ha...

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  9. Find the resultant of vectors vec a= hat i- hat j+2 hat k and vec b...

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  10. Check whether the three vectors 2 hat i+2 hat j+3 hat k ,-3 hat i+3...

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  11. The midpoint of two opposite sides of a quadrilateral and the midpo...

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  12. Prove that the lines joining the vertices of a tetrahedron to the ce...

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  13. Find the angle of vector vec a = 6 hat i + 2 hat j - 3 hat k with x -...

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  14. If the vectors vecalpha=a hat i+a hat j+c hat k , vecbeta= hat i+ hat...

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  15. The points with position vectors 60 i+3j ,40 i-8j ,a i-52 j are col...

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  16. Let alpha, beta and gamma be distinct real numbers. The points whose ...

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  17. Let vec a= vec i- vec k , vec b=x vec i+ vec j+(1-x) vec k and vec c...

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  18. In the DeltaOAB,M is the mid-point of AB,C is a point on OM, such that...

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  19. If vec a , vec b are two non-collinear vectors, prove that the poi...

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  20. If vec a= hat i+ hat j+ hat k , vec b=4 hat i+3 hat j+4 hat k and ve...

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