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ABCD is a quadrilateral and O is point i...

ABCD is a quadrilateral and O is point in its plane. Show that if `vec OA+ vec OB+ vec OC+ vec OD= vec 0`, then O is the point of the interection of the lines joining the mid-points of the opposite sides of ABCD.

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PRADEEP PUBLICATION-VECTORS-EXERCISE
  1. integrate the following int dx/sqrt(x^2+6x+13)

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  2. Show that the mid-points o ftwo opposite sides of quadilateral and the...

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  3. ABCD is a quadrilateral and O is point in its plane. Show that if vec ...

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  4. ABCD is a parallelogram . If P and Q are the mid-points of [BC] and [C...

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  5. Evaluate int dx/(3x^2+6x+5)

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  6. A,B,C and D are four points with position vectors vec a, vec b, vec c ...

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  7. ABCDEF is a regular hexagon. Express the vectors vec (CD),vec (DE),vec...

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  8. Express the vector a=5hati-2hatj+5hatk as sum of two vectors such that...

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  9. Find the component of vector vec PQ where: P(2,3), Q(5,-3). Also, fi...

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  10. Find the component of vector vec PQ where: P(-1,-3), Q(4,5).Also, fi...

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  11. Find the component of vector vec (PQ) where: P(0,2), Q(-5,-6).Also, f...

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  12. Find the component of vector vec( PQ) where: P(2,4), Q(5,3).Also, fin...

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  13. In each of the following problems, components of vec AB along X-axis a...

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  14. In each of the following problems, components of vec AB along X-axis a...

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  15. In each of the following problems, components of vec AB along X-axis a...

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  16. Find the components of vector vec v making an angle alpha with positiv...

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  17. Find the components of vector vec v making an angle alpha with positiv...

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  18. Find the components of vector vec v making an angle alpha with positiv...

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  19. Find the components of vector vec v making an angle alpha with positiv...

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  20. Find the components of vector vec v making an angle alpha with positiv...

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