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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. If veca+vecb+vecc=vec0, |veca|=3,|vecb|=5 and |vecc|=7, find the angle...

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  2. If |veca+vecb|=|veca-vecb| then show that veca and vecb are perpendicu...

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

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  4. Prove that (veca+vecb) cdot (veca+vecb) = |veca|^2 + |vecb|^2, if and ...

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  5. Three vectors veca, vecb, vecc satisfy the condition veca+vecb+vecc=v...

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  6. If the vectors veca,vecb and vecc satisfy the condition veca+vecb+vecc...

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  7. The scalar product of the vector veca=hati+hatj+hatk with a unit vecto...

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

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

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

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

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

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

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

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

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

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

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

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

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

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