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If veca and vecb are perpendicular vecto...

If `veca and vecb` are perpendicular vectors, show that `(veca+vecb)^(2)=(veca-vecb)^(2)`

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MODERN PUBLICATION-VECTORS-Exercise
  1. The scalar product of the vector veca=hati+hatj+hatk with a unit vecto...

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  2. If |veca|=3, |vecb|=4 and |vecc|=5 and each of them is perpendicular ...

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  3. If veca and vecb are perpendicular vectors, show that (veca+vecb)^(2)=...

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  4. IF veca=3hati+hatj-4hatk,vecb=6hati+5hatj-2hatk and |vecc|=3, find the...

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  5. If veca=hati+4hatj+2hatk , vecb=3hati-2hatj+7hatk and vecc=2hati-hatj+...

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  6. Let veca=hati+4hatj+2hatk,vecb=3hati-2hatj+7hatk and vecc=2hati-hatj+4...

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  7. Let veca=hati+4hatj+2hatk,vecb=3hati-2hatj+7hatk and vecc=2hati-hatj+4...

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  8. If veca=hati-hatj, vecb= 3hatj-hatk and vecc=7hati-hatk. Find a vector...

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

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

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  11. Dot-product of a vector with vectors 3hati-5hatk,2hati+7hatj and hati+...

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  12. If hati+hatj+hatk, 2hati+5hatj, 3hati+2hatj-3hatk and hati-6hatj-hatk ...

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  13. If vecalpha=3hati+4hatj+5hatk and vecbeta=2hati+hatj-4hatk, then expre...

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  14. Prove that the perpendicular from the vertices to the opposite sides (...

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  15. Prove that in a right angled triangle the mid-point of the hypotenuse ...

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  16. If two medians of a triangle are equal, prove that the triangle is iso...

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  17. Which of the following statements are True or False : If the diagonals...

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  18. Prove that sum of squares of the diagonals of a parallelogram is equal...

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  19. In any DeltaABC prove by vectors that a^2=b^2+c^2-2 bc cos A.

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  20. In any DeltaABC prove by vectors that b^2=c^2+a^2-2 ca cos B.

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