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 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 θ is the angle between two non-zero vectors vec a and vec b , then write down the value of sin θ .

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

If vec a and vec b are proper vectors such that vec b= λ veca for some real λ then vec a and vec b are

If vec b is a non-zero vector, then projection of vec a on vec b is

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,vec c are three vectors such that vec a=vec b+vec c and the angle between vec b and vec c is pi/2, then

Let vec a , vec b and vec c be three non-zero vectors such that no two of them are collinear and ( vec axx vec b)xx vec c=1/3| vec b|| vec c| vec a . If theta is the angle between vectors vec b and vec c then a value of sintheta is : (1) (2sqrt(2))/3 (2) (-sqrt(2))/3 (3) 2/3 (4) (-2sqrt(3))/3

If vec a and vec b are two vectors such that |quad vec a|=2 , |quad vec b|=1 and vec a. vec b=1 , then find the value of (3 vec a - 5 vec b).(2 vec a+7 vec b) .