For any tow vectors `a\ a n d\ b` show that `( vec a+ vec b)dot( vec a- vec b)=0hArr| vec a|=| vec b|dot`

Show that (vec a + vec b) * (vec a-vec b) = 0hArr | vec a | = | vec b |

For any two vectors vec a and hat b, show that (vec a+vec b)*(vec a-vec b)=0hat harr|vec a|=|vec b|

for any two vectors vec a and vec b, show that |vec a*vec b|<=|vec a||vec b|

For any two vectors vec aa n d vec b , prove that | vec a+ vec b|lt=| vec a|+| vec b| (ii) | vec a- vec b|lt=| vec a|+| vec b| (iii) | vec a- vec b|geq| vec a|-| vec b|

For any two vectors vec a\ a n d\ vec b , fin d\ ( vec axx vec b). vecbdot

For any two vectors vec a and vec b prove that | vec a + vec b | <= | vec a | + | vec b |

For any two vectors vec a\ a n d\ vec b , find veca.( vecbxx veca)dot

For any two vectors vec a, vec b | vec a * vec b | <= | vec a || vec b |

For any two vectors vec a and vec b ,prove that (vec a xxvec b)^(2)=|vec a|^(2)|vec b|^(2)-(vec a*vec b)^(2)

For any three vectors adotb\ a n d\ c write the value of vec axx( vec b+ vec c)+ vec bxx( vec c+ vec a)+ vec cxx( vec a+ vec b)dot