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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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Prove that the line segment joining the mid-points of the diagonals of a trapezium is parallel to each of the parallel sides and is equal to half the difference of these sides.

Prove that the line segment joining the mid-points of the diagonals of a trapezium is parallel to each of the parallel sides and is equal to half the difference of these sides.

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

Prove that the segment joining the middle points of two non-parallel sides of a trapezium is parallel to the parallel sides and half of their sum.

Prove that the line segment joining the mid points of two side of a triangle is parallel to the third side and equal to half of it.

Prove that the line segment joining the mid points of two side of a triangle is parallel to the third side and equal to half of it.

The line segment joining the mid-points of any two sides of a triangle in parallel to the third side and equal to half of it.

Prove that the line joining the mid-points of the two sides of a triangle is parallel to the third side.

Show that the line segments joining the mid-points of opposite sides of a quadrilateral bisects each other.

Show that the line segments joining the mid-points of opposite sides of a quadrilateral bisects each other.

CENGAGE ENGLISH-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. Three coinitial vectors of magnitudes a, 2a and 3a meet at a point ...

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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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