[" (a) For any vectors show that "],[|vec a+vec b|<=|vec a|+|vec b|]

If vec a and vec b are any two vectors, show that |vec a xxvec b|^2= [[vec a*vec a,vec a*vec b],[vec a*vec b,vec b* vec b]] .

For any tow vectors a and b show that (vec a+vec b)vec a-vec b=0hArr|vec a|=|vec b|

For any three vectors a b,c,show that vec a xx(vec b+vec c)+vec b xx(vec c+vec a)+vec c xx(vec a+vec b)=0

If vec a,vec b and vec c be any three vectors then show that vec a+(vec b+vec c)=(vec a+vec b)+vec c

For any vectors vec a vec b , show that |vec a + vec b| le |vec a| + |vec b| .

If vec a and vec b are two non- zero vectors such that | vec a + vec b| = |vec a - vec b| , then show that vec a and vec b are perpendicular.

For any two vectors vec(a) and vec(b) , show that | vec (a).vec(b)| le |vec(a)||vec(b)|

For any two vectors veca and vec b show that |vec a. vec b| le |vec a||vec b| .

For any two vectors veca and vec b show that |vec a.vec b|le |vec a|.|vecb|

If vec(a) and vec(b) are two vector such that |vec(a) +vec(b)| =|vec(a)| , then show that vector |2a +b| is perpendicular to vec(b) .