Given that `vec a. vec b = 0` and `vec a xx vec b = vec 0`. What can you conclude about the vectors `veca ` and `vec b`?

If vec a. vec a = 0 and vec a. vec b = 0 the what can be concluded about the vector vec b ?

If vec a xx vec b and vec a. vecb = 0 then

Show that (vec a - vec b) xx (vec a + vec b) = 2 (vec a xx vec b)

Given that vec adot vec b= vec adot vec c , vec axx vec b= vec axx vec ca n d vec a is not a zero vector. Show that vec b= vec cdot

Show that ( vec a- vec b)xx( vec a+ vec b)=2( vec axx vec b)dot

If vectors vec a , vec b ,a n d vec c are coplanar, show that | vec a vec b vec c vec adot vec a vec adot vec b vec adot vec c vec bdot vec a vec bdot vec b vec bdot vec c|=0

If vec a , vec b , vec ca n d vec d are distinct vectors such that vec axx vec c= vec bxx vec da n d vec axx vec b= vec cxx vec d , prove that ( vec a- vec d)dot (vec b- vec c)!=0,

Show that |vec a| vec b + |vec b| vec a , is perpendicular to |vec a| vec b - |vec b| vec a , for any two non-zero vectors vec a and vec b .

If vec aa n d vec b are unit vectors such that ( vec a+ vec b).(2 vec a+3 vec b)xx(3 vec a-2 vec b)=0 , then angle between veca and vec b is a. 0 b. pi//2 c. pi d. indeterminate