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For any two vectors veca and vecb, prov...

For any two vectors `veca` and `vecb`, prove that `|veca.vecb|le|veca||vecb|` Also write the name of this inequality.

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The correct Answer is:
Cauchy Schwartz Inequality
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For any two vectors veca and vecb , prove that : |veca+vecb|le|veca|+|vecb| . Also, write the name of this inequality

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For two non-zero vectors veca and vecb , write when |veca+vecb|=|veca|+|vecb| holds.

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the angle between vectors veca × vecb and vecb × veca is

ACCURATE PUBLICATION-VECTOR ALGEBRA-QUESTIONS CARRYING 2 MARKS
  1. Find the position vector of a point R which divides the line joining t...

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  2. Find the angle between two vectors veca and vecb with magnitudes sqrt3...

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  3. For any two vectors veca and vecb, prove that |veca.vecb|le|veca||vec...

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  4. For any two vectors veca and vecb, prove that : |veca+vecb|le|veca|+|v...

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

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

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  7. If |veca|=7, |vecb|=1 and |vecc|=5 and each of them is perpendicular ...

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  8. Let veca,vecb,vecc be the three vectors of magnitude 5, 3, I respectiv...

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  9. Find the scalar projection of : veca=2hati-hatj-3hatk on vecb=3hati-5h...

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  10. Find the scalar projection of : veca=7hati+3hatj+6hatk on vecb=5hati-2...

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  11. Find the scalar projection of vecb on veca where : veca=2hati-2hatj+ha...

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  12. Find the scalar projection of vecb on veca where : veca=2hati+2hatj+ha...

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  13. Find the scalar projection of vecb on veca where : veca=2hati+2hatj-ha...

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  14. The projection of the vector veca=2hati+3hatj+2hatk on the vector vecb...

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  15. If veca=2hati-2hatj+hatk,vecb=hati+2hatj-2hatk and vecc=2hati-hatj+4ha...

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  16. If veca=2hati-2hatj+hatk,vecb=hati+2hatj-2hatk and vecc=2hati-hatj+4ha...

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  17. If veca=2hati-2hatj+hatk , vecb=2hati-hatj+4hatk , and vecc=hati+2hatj...

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  18. Show that the vectors : 2hati-hatj+hatk,hati-3hatj-5hatk and 3hati-4ha...

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  19. With the help of vector method, prove that,cosC=(a^2+b^2-c^2)/(2ab)

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  20. With the help of vector method, prove that,cosA=(b^2+c^2-a^2)/(2bc)

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