If ` vec a ,a n d vec b` be two non-collinear unit vector such that ` vec axx( vec axx vec b)=1/2 vec b ,` then find the angle between ` vec a ,a n d vec bdot`

If | vec a|+| vec b|=| vec c|a n d vec a+ vec b= vec c , then find the angle between vec aa n d vec bdot

If three unit vectors vec a , vec b ,a n d vec c satisfy vec a+ vec b+ vec c=0, then find the angle between vec aa n d vec bdot

If vec a and vec b be two unit vectors such that vec a+ vec b is also a unit vector, then find the angle between vec a and vec b

If vec a , vec b ,a n d vec c are non-zero vectors such that vec adot vec b= vec adot vec c , then find the geometrical relation between the vectors.

If vec aa n d vec b are two vectors, such that vec adot vec b<0a n d| vec adot vec b|=| vec axx vec b|, then the angle between vectors vec aa n d vec b is pi b. 7pi//4 c. pi//4 d. 3pi//4

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

If vec a and vec b are non - zero vectors and |vec a+ vec b| = |vec a - vec b| , then the angle between vec a and vec b is

If vec a , vec b ,a n d vec c are non-coplanar unit vectors such that vec axx( vec bxx vec c)=( vec b+ vec c)/(sqrt(2)), vec ba n d vec c are non-parallel, then prove that the angel between vec aa n d vec bi s3pi//4.

vec aa n d vec b are two non-collinear unit vector, and vec u= vec a-( vec adot vec b) vec ba n d vec v= vec axx vec bdot Then | vec v| is | vec u| b. | vec u|+| vec udot vec b| c. | vec u|+| vec udot vec a| d. none of these

If vec ba n d vec c are two-noncollinear vectors such that vec a||( vec bxx vec c), then prove that ( vec axx vec b) . ( vec axx vec c) is equal to | vec a|^2( vec bdot vec c)dot