If `theta` is th angel between the unit vectors a and b , then prove that `cos(theta/2)=1/2| vec a+ vec b|`.,, `sin(theta/2)=1/2| vec a- vec b|`

If vec a and vec b are unit vectors and theta is the angle between them,then prove that cos[(theta)/(2)]=(1)/(2)|vec a+vec b|

If angle between two unit vectors vec a and vec b is theta then sin((theta)/(2)) is equal to

If the angel between unit vectors vec a and vec b60^(@) ,then find the value of |vec a-vec b|

If theta be the angle between two vectors vec(a) and vec(b) , then vec(a).vec(b)ge0 only when

If vec a+vec b+vec c=vec 0, show that the angle theta between the vectors vec b and vec c ig givne by cos theta=(|vec a|-|vec b|-|vec c|)/(2|vec b||vec c|)

If vec a and vec b are two unit vectors and theta be the angle between them,then sin((theta)/(2))=

If vec a+vec b+vec c=vec 0, show that the angle theta between the vectors vec b and vec c is given by cos theta=(|vec a|^(2)-|b|^(2)||vec c|^(2))/(2|vec b||vec c|)

For any two vectors vec a and vec b ,prove that (vec a xxvec b)^(2)=|vec a|^(2)|vec b|^(2)-(vec a*vec b)^(2)

If unit vectors hat(a) and hat(b) are inclined at angle theta , then prove that |vec(a) - vec(b)| = 2 sin.(theta)/(2) .

If vec a and vec b are two unit vectors and theta is the angle between them,then the unit vector along the angular bisector of vec a and vec b will be given by a.(vec a-vec b)/(cos(theta/2)) b.(vec a+vec b)/(2cos(theta/2)) c.(vec a-vec b)/(2cos(theta/2)) d. none of these