If `vec a` and `vec b` are unit vectors and `theta` is the angle between them, show that `sin (theta/2)=1/2|vec a - vec b |`.

Let vec a and vec b be two unit vectors and θ is the angle between them. Then vec a+vec b is a unit vector if

If vec a and vec b are non-zero vectors and the angle θ between them is given by cos θ= k/(|vec a||vec b|) then write the value of k.

If |vec a|=10, and |vec b|=2 and vec a* vec b =12 , find angle between the two vectors

If vec a, vec b and sqrt(3)veca-vec b are Unit Vectors, then the angle between vec a and vec b is .........

If vec a , vec b are any two vectors, then give the geometrical interpretation of relation | vec a+ vec b|=| vec a- vec b|

If vec a , vec b , and vec c are mutually perpendicular vectors of equal magnitudes, then find the angle between vectors vec a and vec a+ vec b+ vec c dot

If vec a and vec b are two vectors such that |quad vec a + vec b|= |quad vec a| , then prove that 2 vec a+ vec b is perpendicular to the vector vec b .

If | vec a|+| vec b|=| vec c| and vec a+ vec b= vec c , then find the angle between vec a and vec bdot

If vec a, vec b, vec c are unit vectors such that vec a+ vec b+ vec c = vec 0 , then find the value of vec a* vecb + vec b* vec c +vec c* veca .

If vec a , vec b , vec c are unit vectors such that vec adot vec b=0= vec adot vec c and the angle between vec ba n d vec c is pi//3 , then the value of | vec axx vec b- vec axx vec c| is 1//2 b. 1 c. 2 d. none of these