For any two vectors `veca and vecb` prove that `|veca-vec|ge|veca|-|vecb|`

For any two vectors veca and vecb prove that |veca-vec|le|veca|+|vecb|

For any two vectors veca and vecb prove that |veca+vec|le|veca|+|vecb|

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

For any two vectors veca and vecb prove that |veca.vecb|<=|veca||vecb|

For any two vectors veca and vecb prove that |veca+vecb|lt+|veca|+|vecb|

For any two vectors veca and vecb prove that |veca.vecb|lt+|veca||vecb|

For any two vectors veca and vecb prove that |veca+vecb|lt+|veca|+|vecb|

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

For any two vectors veca and vecb prove that |vecaxxvecb|^(2)+(veca*vecb)^(2)=|veca|^(2)|vecb|^(2)