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Consider the following quadrilateral ABC...

Consider the following quadrilateral ABCD in which P,Q,R,S are the mid points of the sides.
If `veca` is any vector, prove that `veca=(veca*i)i+(veca*j)j+(veca*k)k`.

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MAXIMUM PUBLICATION-VECTOR ALGEBRA-EXAMPLE
  1. Consider the following quadrilateral ABCD in which P,Q,R,S are the mid...

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  2. Consider the following quadrilateral ABCD in which P,Q,R,S are the mid...

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  3. Consider the following quadrilateral ABCD in which P,Q,R,S are the mid...

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  4. With help of a suitable figure for any three vectors veca,vecb and vec...

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  5. If veca=i-j+k and vecb=2i-2j-k. What is the projection of veca on vecb...

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  6. If veca=3i-j-5k and vecb=i-5j+3k Show that veca+vecb and veca-vecb are...

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  7. Given the position vectors of three points as A(i-j+k),B(4i+5j+7k)C(3i...

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  8. Given the position vectors of three points as A(i-j+k),B(4i+5j+7k)C(3i...

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  9. Write the unit vector in direction of i+2j-3k.

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  10. If vec(PQ)=3i+2j-k and the coordinate of P are (1,-1,2), find the coor...

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  11. The angle between the vectors veca and vecb such that absveca=absvecb=...

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  12. Find the unit vector along veca-vecb where veca=i+3j-k and vecb=3i+2j+...

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  13. Consider the vectors veca=2i+j-2k and vecb=6i-3j+2k.Find veca.vecb and...

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  14. Consider the vectors veca=2i+j-2k and vecb=6i-3j+2k.Verify that abs(ve...

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  15. For any three vectors veca,vecb,vecc, show that vecatimes(vecb+vecc)+v...

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  16. Given A(1,1,1),B(1,2,3),C(2,3,1) are the vertices of triangleABC a tri...

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  17. Consider A(2,3,4),B(4,3,2) and C(5,2,-1) be any three points. Find t...

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  18. Consider A(2,3,4),B(4,3,2) and C(5,2,-1) be any three points. Find the...

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  19. Find the angle between the vectors veca=3i+4j+k and vecb=2i+3j-k.

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  20. The adjacent sides of a parallelogram are veca=3i+lambdaj+4k and vecb=...

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