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Show that |veca|vecb + |vecb|veca is pe...

Show that `|veca|vecb + |vecb|veca` is perpendicular to `|veca|vecb-|vecb|veca` for any two non zero vectors `veca` and `vecb`

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Prove that |veca|-|vecb| le|veca - vecb | .

If veca.vecb=0 then angle between vector veca and vecb is:

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If |veca*vecb|=|vecaxxvecb| , then the angle between veca and vecb is :

The formula (veca+vecb)^(2)=veca^(2)+vecb^(2)+2vecaxxvecb is valid for non zero vectors veca and vecb .

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MODERN PUBLICATION-VECTORS-Exercise
  1. If 2hati+hatj-3hatk and mhati+3hatj-hatk are perpendicular to each oth...

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  2. Show that the projection of vecb on veca ne vec0 is : ((veca*vecb)/(|v...

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  3. Show that |veca|vecb + |vecb|veca is perpendicular to |veca|vecb-|vec...

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  4. Find a unit vector perpendicular to each of the vector veca+vecb and v...

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

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  6. If veca=hati-hatj+7hatk and vecb=5hati-hatj+lambdahatk, then find the ...

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  7. If vecp=5hati+lambdahatj-3hatk and vecq=hati+3hatj-5hatk, then find th...

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  8. If veca=5hati-hatj+7hatk and vecb=hati-hatj-lambdahatk, then find the ...

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  9. Find the scalar product of the following pairs of vectors and the angl...

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  10. Find the scalar product of the following pairs of vectors and the angl...

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  11. Show that the points : A(2hati-hatj+hatk),B(hati-3hatj-hatk),C(3hati-4...

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  12. The position vectors of the vertices of /\ABC are : 3hati-4hatj-4hatk,...

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  13. Show that the points with position vectors veca=3hati-4hatj-4hatk,vecb...

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

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

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

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

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

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

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

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