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prove using vectors: The quadrilateral obtained by joining mid-points of adjacent sides a rectangle is a rhombus.

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Prove that the figure obtained by joining the mid-points of the adjacent sides of a rectangle is a rhombus.

Show that the quadrilateral formed by joining the mid-points of the consecutive sides of a rectangle is a rhombus.

Show that the quadrilateral formed by joining the mid-points of the consecutive sides of a rectangle is a rhombus.

Show that the quadrilateral formed by joining the mid-points of the consecutive sides of a rectangle is a rhombus.

The figure obtained by joining the mid-points of the adjacent sides of a rectangle of sides 8 cm and 6 cm, is

The diagonals of a quadrilateral ABCD are mutually perpendicular . Prove that the quadrilateral formed by joining the mid-points of its consecutive sides is a reactangle.

Show that the quadrilateral, formed by joining the mid-points of the sides of a square is also a square.

Show that the quadrilateral, formed by joining the mid-points of the sides of a square is also a square.

The diagonals of a quadrilateral intersect at right angles. Prove that the figure obtained by joining the mid-points of the adjacent sides of the quadrilateral is a rectangle.

If the quadrilateral formed by joining the mid points of the adjacent sides of quadrilateral ABCD is a rectangle, show that the diagonals AC and BD intersect at right angle.

RD SHARMA ENGLISH-SCALAR OR DOT PRODUCT-All Questions
  1. (Pythagoras’s Theorem) Prove by vector method that in a right angle...

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

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

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

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

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

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

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

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

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  12. 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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  13. If the vectors 3 hat i-2 hat j-4 hat k\ a n d\ 18 hat i-12 hat j-m hat...

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  14. If vec a\ a n d\ vec b are vectors of equal magnitude, write the val...

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  15. If vec a\ a n d\ vec b are two vectors such that ( vec a+ vec b)dot(...

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  16. For any two vectors vec a\ a n d\ vec b write when | vec a+ vec b|=|...

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  17. For any two vectors vec a\ a n d\ vec b write then | vec a+ vec b|=|...

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  18. If vec a\ a n d\ vec b are two vectors of the same magnitude incline...

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  19. If vec adot vec adot=0\ a n d\ vec adot vec b=0 what can you conclud...

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  20. If vec b is a unit vector such that ( vec a+ vec b)dot ( (vec a- vec ...

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