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ABCD is a parallelogram with A as the or...

ABCD is a parallelogram with A as the origin. `vecb` and `vecd` are position vector of B and D respectively.
If `absvec(AC)=absvec(BD)`, show that ABCD is a Rectangle.

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MAXIMUM PUBLICATION-VECTOR ALGEBRA-EXAMPLE
  1. (veca-vecb)times(veca+vecb) is equal to a)veca b)abs(veca)^2-abs(ve...

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  2. Using vectors, show that the points A(1,2,7),B(2,6,3),C(3,10,-1) are...

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  3. Find a vector in the direction of vecr=3i-4j that has a magnitude of ...

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  4. For any three vectors veca,vecb and vecc, and, prove that (veca+vecb)+...

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  5. Find a unit vector perpendicular to veca+vecb and veca-vecb, where vec...

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  6. Let A(2,3,4),B(4,3,2) and C(5,2,-1) be three points.Find vec(AB) and v...

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  7. Let A(2,3,4),B(4,3,2) and C(5,2,-1) be three points .Find the projecti...

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  8. Let A(2,3,4),B(4,3,2) and C(5,2,-1) be three points Find the area of...

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  9. ABCD is a parallelogram with A as the origin. vecb and vecd are posit...

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  10. ABCD is a parallelogram with A as the origin. vecb and vecd are posit...

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  11. ABCD is a parallelogram with A as the origin. vecb and vecd are posit...

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  12. If veca,vecb,vecc,vecd respectively are the position vectors represent...

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  13. Find the projection vector of vecb=i+2j+k along the vector veca=2i...

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  14. Find the area of a parallelogram for which the vectors 2i+j,3i+j+4k ar...

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  15. Write the magnitude of a vector veca in terms of dot product.

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  16. If veca,vecb,veca+vecb are unit vectors, then prove that the angle bet...

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  17. If 2i+j-3k and mi+3j-k are parpendicular to each other, then find 'm...

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  18. Consider the triangle ABC with vertices A(1,2,3),B(-1,0,4),C(0,1,2) ...

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  19. Consider the triangle ABC with vertices A(1,2,3),B(-1,0,4),C(0,1,2) ...

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  20. Consider the triangle ABC with vertices A(1,2,3),B(-1,0,4),C(0,1,2) ...

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